Hey guys. So it has been one week at uni so far. Back in february

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Hey guys. So it has been one week at uni so far. Back in february we met at the uni campus since I met this qt azn girl, we were both being interviewed for a scholarship from that uni, and we talked quite extensively. We are in the same dorm building (diff floors) so on Thursday I saw her again for the second time at our dorm building and we said hi and talked a little, I said "I don't see you around a lot" and she said "Yeah, I stay in my dorm room a lot."

Anyway Friday morning we both met at this premed session in the morning and we sat together and I got her number, I just sort of gave her my phone and said "go ahead and put in your contact info" and she did without actually saying anything, just put in her number and gave the phone back to me. After that session we walked together back to our dorms, I didn't ask to walk with her or vice versa, she just sort of followed me, though I continued to the uni cafeteria to eat breakfast once she got to the dorm room.

On Saturday me and a new friend I made went and made plans to study today for biology, and pic related happened. Does this mean she wants me to ask her out?

Also, me and the friend plan on studying again tomorrow on Sunday, should I invite her? She is actually super smart and would make a good study partner.