Good point. Try to have something for your character to do that has nothing to do with the numbers on their character sheet (which, btw, you get reprinted in your event pack).
Find out about X thing in recent or long-past history
Get someone to teach you a skill IC (mechanically irrelevant, excellent RP)
Research Y (I did this with my first PC. He catalogued every group and symbol on the field)
Visit every bar and tea house and similar in Anvil. This could get expensive…
Find someone willing to show you illium (the rarest trading material on the field. Very expensive), and discuss it.
Learn a song. Or a story. And then perform for someone else!
Visit the Academy. And the Senate (during a session). And the Hall of Worlds (if possible).
Get into an IC romantic relationship (if you manage this, you’re doing better than me )
If they all seem too intimidating, go along to the Hub and look at the BIG map on the wall. Find out where your character is from, and ask people there to explain stuff on the map…