Non-paging polisci/gov/law internships?

Answered

Most students get started in gov/politics with internships with local representatives and senators (state legislature types, not national ones), as well as work on campaigns, which should obviously be particularly hungry for volunteers this year. I would get in touch with whoever your local reps are and see if they see any opportunities opening up—even if they're small or remote right now, they'll remember your name and might be able to put you in contact with useful opportunities in the future.

Otherwise, you could also look into internships with non-profits or other political lobbying groups that work on issues you care about. That gives you visibility into a different part of the process, and depending on what you want to do with gov/law/polysci, they could give you a different kind of exposure to issues you might want to pursue in the future.