"Political interest group" gets her references to: 

The Companion's Guild
A number of trade organizations with strong opinions about tariffs
A couple of medical organizations
A group advocating greater pushes for terraforming 
A handful of groups that seem to be concerned with law enforcement 

She will investigate what the Companion's Guild is and what the law enforcement concerns are.

The Companion's Guild is a licensing and regulation organization for Companions, which are like prostitutes, but classy. 

People argue a lot about what kinds of weapons the police should be allowed to carry. 

Currently law enforcement on the Rim is done by the military and some people think they should maybe drop martial law already. 

"Huh. Apparently there is martial law. It's fairly inconspicuous so far."

"What's martial law usually like?"

"Would have expected visible uniformed patrol. Maybe they just have a lot of cameras." She looks around for cameras.

There's one over there. 

"Yeah, there's one. Huh. Excuse me," she says to the nearest local, "is there a curfew in this town?"

"Hm? No, why?"

"Just checking, thanks!"

"Welcome!"

So what are the complaints about martial law if they don't even have a curfew, at a certain point isn't it basically similar to police -

The people discussing the issue seem to be all from the Core worlds and not really super informed as to how it actually works in practice. 

She's curious about terraforming discourse even though it's not a good indicator species since she doesn't come from a terraforming-capable civilization, what's that like?

Terraforming is expensive and it doesn't always work, (hint hint Pacifica hint hint) but it's also really cool and they're going to run out of space on the currently-habitable planets eventually, but that's decades and decades off...

Pacifica?

Pacifica was a planet! It orbited a protostar in this system. Now it is the Six Sigma Asteroid Swarm instead. 

Oh dear! What is the actual terraforming process like that can have this result?

If she wants to know how terraforming in general works she can have some very technical papers but the thing that happened with Pacifica in particular is that it had too much gravity to support life and they were attempting to do cutting-edge gravity stuff to it and the gravity stuff was, as it transpired, not quite ready to accomplish that particular task without anything important such as a planet blowing up. 

Huh, okay. "Any other points of interest?"

"I'm going to want to look at their fashion scene eventually but it's not urgent."

"I don't think the political interest group search really satisfied what I wanted to know..."

"What'd you want to know?"

"What I can do within the system as it currently exists, like, there's a bunch of groups that exist but I didn't see anything about how they started or if there are other avenues or anything..."

"Can you give an example of something that would be a satisfying answer?"