Cute girl in class. What to do?

Theres this girl in my business class who Ive been talking to. She’s a cute Brazilian. So far I’ve been playing it cool since class just started. We talk casually, we help each other cheat on quizzes, things like that. I think she’s comfortable around me as she tells me random things that are going on in her life and says that we should keep helppin each other out.

My other problem is that I’m a cheap fuck. I still haven’t bought my class book yet (that shit’s $150). She has the book.

Should I solve both these problems at once lol. Tell her that we should study together. Then I can use the book and get on that :).

Is it rude to ask this of a girl you just met in class? If she wants to, could that mean she simply wants to study (nothing more)? Am I misreading signals?