<human>: Could you distill the essence of the text into 1-3 sentences?

So I've been seeing this really cool girl pretty regularly. I actually met her through her brother, who is a good friend of mine. I told her I knew she liked me (brother told me) and I wanted to get to know her, and after a lunch date and a triple date to the movies, I asked her if she would be my girlfriend.

   I put my arm around her during the latter half of Ant-Man (she collects comic books like I do. I think she's a keeper.) and we hugged whenever I picked her up/dropped her off from her house before she got her license. We also went to my friends house and I put my arm around her and kissed her cheek, but I didn't get much of a response to it. 

   She's socially awkward in a sense, and I think it's cute. I like it, but it feels like she doesn't show a lot of PDA in front of other people, and I think I'm her first official boyfriend. She's also the first official girlfriend I've had in years so maybe we're both just working out the pacing issues. It just feels weird that we've been together for this long (granted we've only seen each other a few times over the summer) and we aren't holding hands or anything like that when we see each other. 

   Also, when we talk or text, we don't really get on personal topics or anything like that. We mostly just talk about school, comics, or anything going on at the moment.

   School starts Monday so I'll see her then. Any advice?
<bot>: Dating this girl for a month, I really like her but we haven't kissed and we aren't close on an emotional level. Advice?