How do I ask someone out?

[Excited Penguin]

Just try it.

There's four minutes between classes, and she's not the type to do something after class besides sit and read.

P.S

I wanted to start a book club, or secular. She talks about that stuff and so do I

Find her after class is over, or whenever there's enough time and ask her what books she's reading. Have a conversation. If she seems to enjoy it you can ask her contacts, talk to her online/on the phone and then see where it goes from there. If she seems like she's into you, you can ask her out then, later on.