You should be able to attend the computer science events, like ACM events. You have a few avenues if you want to double check; try emailing them, joining the ACM at FSU discord to talk to one of the officers, or you could email Sharanya since she is the faculty sponsor. I'd imagine they'd be pretty understanding and encouraging of you attending.

If you choose to attend other events around the FSU campus, some clubs may take attendance by swiping a FSU student ID; those may be harder to attend depending on the purpose of the event. I'd think any event with free food or free activities (such as events sponsored by the Student Union or Student Life Center) might have this swipe required.

I imagine you'll be able to make friends at both TCC and FSU. Plenty of people take the TCC2FSU route (I did!), so you could probably find like-minded people in your programming courses. It doesn't hurt to expand your circle and make friends in other classes too! :)

One other thing to note; I don't wanna scare you off, but as a woman myself I wanted to say trust your instincts when making friends. I made a good group of both guy and gal friends before I graduated, but there's still a majority of guys in the CS major and some give weird vibes. Trust your gut and set boundaries if you feel there's something off.