How do I tell if someone wants to be friends with me?

how do I tell if someone wants to actually be friends? Theres this new student in my class and I thought it would be nice to get to know her, we like a lot of the same things. But she never actually really talks to me that much since the week we've been hanging out at school, it's mainly just me asking questions about interests and experiences about her and thinking about what to say

It could be because she's quiet, so far it's quarter 3 and she has zero friends. I just hope I didn't weird her out from not talking to her to all of a sudden asking to be friends and hanging out at lunch.