She makes a beeline right for the Fiction section, once she has identified it. She can find an introductory statistics textbook later.

How are things organized within the Fiction section? By theme, or by something less immediately useful like author?

(In which case she will browse covers until she finds one that arbitrarily catches her interest)

The books in the Fiction section are organized by themes, as well as the main source of interest in the work: you have themes like Meaningful Relationships, Scientific Speculation, Sense of Grandeur, Terror and Relief, Intriguing Mysteri, and Cathartic Emotionality. Going deeper, the Meaningful Relationships section is divided into subgenres like Developing Romances, Nostalgic Romances, Recent Parenthood, Parenthood Nostalgia, Childhood Nostalgia, and similar starightforward descriptions of what you'll hopefully like in the book you'll be reading.

The covers often look like the super-bland yellow mathbooks from some big publisher or other, fascinatingly enough; there are books with beautifully illustrated covers once in a while, but most of them tend to have just the sterile "mass-produced" look on the shelves. The books are also very consistent in term of size; it's a bit strange that the books all seem to be relatively close in terms of page count, although the books are all quite thick.

... hmm. Emily is slightly dubious about the consistently sized books, but she'll give them the benefit of the doubt.

She tries the Intriguing Mystery section. She's read and liked mystery books before, and it seems like it might be the best place for something fantasy-esque.

She pulls a random book from the shelf, pausing to sneeze into her elbow, and then sinks down to the carpet to read the introduction.

Elizabeth Von Neumann has a huge and devoted fanbase for her stories of aliens with mysterious powers stumping detectives on their trails. In The Case of the Plutonium Bull, she tells one of her most riveting stories yet: one of the most priceless and powerful artifacts, vanishing without a trace from one of the most well-protected Atom Guard vaults! Inspector Vidocq the Second must use all his wits if he stands any chance at finding the culprit behind the daring heist, and to place the immensely powerful and valuable Plutonium Bull back into the safe hands of the Atom Guard.

This sounds like a good book to her!

She starts to flip the page, before realizing that she doesn't actually know the library's borrowing policy. It would suck to start reading it and then have the library close without being able to check it out.

Instead, she tucks the book under her arm, and goes in search of a librarian. Or, failing that, a poster with library rules on it.

She can't find any posters with rules for the library, unfortunately, although there are many posters full of information about books and famous authors. It doesn't look like there's a real librarian, either. Presumably, she needs to look it up on her phone or something?

Emily is not yet used to the idea of having a phone, or treating it as an authority on anything, but after failing to find a librarian it seems like the obvious choice.

She finds one of the reading nooks, and settles down on it. Does searching on her phone help?

Yes, as a matter of fact. The way that it works is that you can loan books for a minimum period of 2 weeks or until someone else wants to check out the book, whichever is longer, and you only need to register the loan in the library's app. Emily is free to just take the book back to her apartment without doing a library loan or anything, as long as she ensures that it gets returned within 2 weeks of someone else making a loan request. It only takes a few clicks to set up a notification to be notified whenever she'll have to return the book to the library, and then she just needs to say that she currently has the book on loan in the library's app. It doesn't seem like it gets lent out very often, so she'll probably get lots of time to read it.

She can't imagine any book that takes two weeks to get through, so she's pretty much fine.

In that case, she will just stay in the reading nook, and read. This renders her more-or-less oblivious to anything going on around her, although she will keep an eye out for any sign the library is closing, so she can relocate to her apartment.

Nothing does, indeed, happen. The library is perfectly quiet, and Emily is perfectly undisturbed. The library doesn't close, either; it's part of the building's common areas, so she can go there anytime she wants.

Then she will read until the sun has set, and she notices the change in the light. At which point she figures she should probably go to bed, so she makes her way back up to her apartment.

She peels out of her clothes, leaves them on the floor, gets into bed, and is immediately bothered because the sheets are wrong.

She tosses and turns for a while, before getting up and taking a shower. When the feel of the water has replaced the feel of the sheets, she tries again.

Whether it's because they are no longer so unfamiliar, or because she is simply tired after an unexpected day, she manages to fall asleep on the second try.

The next morning, she figures out how to take notes on her phone, and prepares a list:

Clothing

Toothbrushes

Statistics

Exams

Dishes

Investigate the park

Backpack

Breakfast

She thinks for a moment, but can't come up with anything else to add to it. She mentally sorts it by urgency, and starts trying to figure out where she should go shopping.

Remembering the food and the library, she tries her phone first this time. Can she order a backpack, toothbrush, and maybe clothes via the phone? Or does she need to travel somewhere?

A backpack, toothbrush and clothes are all available through the phone, shipped via cargo robot. However, Emily gets quite the impression that having clothes ordered and sent to you is considered quite unusual, as opposed to trying clothes in person to ensure they fit better.

She has never been particularly bothered about clothes, so she starts to just order some, before remembering that some of the clothing she's seen is pretty strange. People seem to wear tight shirts, which probably doesn't fit with her habitual choice of loose-fitting t-shirts. Also, she's seen relatively few pants, considering.

She drums her fingers on her book, before deciding that the proper order of operations is probably ordering a backpack, so that she has something to carry purchases in, and then going out to a clothes store.

She finds a forest green backpack of a reasonable size and price, sends off her order, and settles in to read more of the mystery book until it arrives.

It takes about 2 hours before the backpack arrives, somewhat clumsily carried on top of a similar robot to the one that brought her the food. It's uncannily light, and comes with some kind of plate that looks like it's made of carbon-fiber that fits on the inside of the backpack. The backpacks were basically all sold in standardized rectangular sizes, designed to fit into luggage bins; the most reasonable size is a tiny bit too large for Emily.

She startles when the robot arrives, but pulls the backpack in after a moment. She puts her books, phone, and key into different pockets, and then sets out.

She stops in the library to pick out an introductory statistics textbook, and ends up leaving with two more books that looked interesting, even though there will be no time to read them on the train at all because it's too fast.

And she follows her phone's directions to a nearby clothing store.

The phone suggest a clothing store just 2 stops away, marketing itself to parents and children and proudly advertising the many schools that they've sold uniforms to. The store sells all kinds of everyday clothes in a wide range of pretty colors: skirts, pants, shirts, jackets and dresses, never really anything out of the ordinary.

She examines the items carefully, running the cloth between her fingers to test how it feels. The first few things she tries are not acceptable, so she keeps going until she finds some that feel alright.

She ends up getting a small selection of shirts, pants, underwear, and socks, split between blue, green, and white. She looks around for a teller or other checkout option — is this place more like the phone store, or like the library?

There's a friendly woman standing around ready to answer any of Emily's questions, waiting behind a counter as she realized that her customer probably won't ask her for anything and ready to accept Emily's payment.

... she's not sure what it says about this place's priorities, that they have people to help in shops, but not in libraries. Who does the restocking, anyway? Robots?

She's struck by the urge to capture a library robot and keep it like a pet that could organize her books, but she smothers the impulse and pays for her clothes instead.

It does make her realize that she might need more than just statistics classes, just so that she has some idea of how things work around here, though.

The clothes are very, very cheap, so that's reassuring. And they're made of a fabric that feels incredibly nice against Emily's skin while keeping her cool, as well.

She makes her purchases, and bundles them back into her backpack. She steps out on the street, and consults her list. She's handled a lot of what she planned on, and honestly the thing she probably should do next is work out when she needs to take her exams and what's included on them, but she's loose in a strange city, and she feels like having an adventure.

She consults her phone — she thinks it's not too far to her original arrival point. Can she walk to the park from here?

It'd be a bit of a walk, yes, but she can absolutely get to the park she arrived in from where she is now.

Excellent!

She sets off in the right direction. And, since she is now Investigating, she takes the time to look for clues. Except she's not sure what she should be looking for exactly, so she ends up just watching the people as she walks. What kinds of people are between her and the park?

Lots of kids in skirts with teachers looking like they're on school trips, lots of parents pushing baby carriages with 4 or more babies, lots of people in dresses or skirts that end above the knee, a few people enjoying riding on their bikes in the sunny weather, and a few kids as well as adults running around and swordfighting with foam swords.