It's a bright spring day in Ponyville, and Twilight Sparkle is exactly where you'd expect her to be. In the library, that is. Specifically, she's hunting for where she mislaid Principles of Proto-Equestrian Orthography because she just can't read Starswirl's hoofwriting without it. Hmm, maybe Spike put it back in the storage room—
"Um...where am I?" she says aloud. "Is anypony here?"
That doesn't really answer any of her questions. Really, it just generates a lot more.
Milliways is an interdimensional bar accessible from a large number of different universes. Time in a given universe does not pass while a patron therefrom is inside with the door closed. Food, beverages, and books from any of the universes from which Milliways is accessible are available for purchase. I can accept almost anything of value in exchange for purchases but you do have to pay somehow.
Violence against other patrons is strictly forbidden in the main bar area. Security will be enforced by categorically adequate means.
Holy shit this is so cool!!!
She will continue to quiz the bar on the finer details of how the hay any of this works, and receive mostly unsatisfactory answers, until another patron arrives.
Brown isn't that exotic a color! Dr. Whooves is brown—that said, she's not entirely sure that Dr. Whooves isn't himself an alien. Mostly, her reaction is 'aaah why is she so big' and 'what happened to her face'.
Katixa will see a pastel purple winged unicorn about three feet high at the shoulder, reading a book and drinking from a teacup that she's levitating in front of her face. Compared to the animal that some other places call a 'horse', she has a much larger cranium and shorter snout, with large, relatively forward-facing eyes. Her mane and tail are multicolored and there's a design apparently dyed into both of her flanks.
"Oh, hi!" she says to the new arrival, suddenly looking up from her book. "I'm Twilight Sparkle, Princess of Friendship. What's your name?"
Katixa can speak, in Milliways, due to the translation effect being willing to convert whuffling noises and nickers that she means something verbal by into words for her!
Katixa doesn't know that, though! She inspects the levitating teacup curiously and doesn't say anything.
(The Equestrian language actually consists mostly of phonemes that Katixa could in theory produce, but it's not familiar to her, and if the translation effect is causing her to hear, say, Taldane, then she may not realize that she can reply.)
... oh, right, the alien doesn't speak Equestrian. Why would she? Still, one wonders how the bar does, so it's worth testing. "Tap your hoof twice if you can understand me but not reply," she says.
She offers Katixa the teacup. It's full of tea, though probably too small for her to drink from without spilling the entire thing.
Tap tap! Katixa can drink reasonably delicately from open vessels. A teacup is a challenge and she spills a little, but not all of it.
Actually, wait, this is an alien, there are more basic things she ought to be checking. "Tap once for yes and twice for no—does your species normally communicate with language?"
... rather than try to figure this out via hoof-taps, Twilight is just going to ask the bar what species Katixa is and how she normally communicates.
"Um, anyway, this place is called Milliways and apparently it connects to a large number of different universes," she tells Katixa. "The bar is intelligent and you can ask it for things; it says that in here, you can talk if you try. There's translation magic active, or else you wouldn't be able to understand me."
"If you leave and let the door close behind you, you probably won't be able to get back in. I can hold the door for you, I guess?"
"I also don't know what a 'paladin' is but I'm willing to be shown rather than told."
"Well he's not right where I was. He's doing important government things. A paladin's a holy warrior but right now there is not fighting and there is government so he's doing that."
"I'm glad there's no fighting! I'm technically a Princess but I haven't been one very long and the older Princesses do most of the actual governing. I suppose that talking to aliens probably would be one of my royal duties, although I found this place quite by accident and didn't intend to meet any aliens when I woke up this morning." It's probably not in Celestia's power to create an interdimensional bar but she absolutely would arrange the whole thing just as it's happened if it were.
"Uh, what's your name, by the way?"