<human>: Condense the text into a few key points

I'm M(19) she's F(23). 
We started talking and hanging out a few months ago after meeting in school. She told me she really liked me but since she just got out of a bad relationship she wanted to take it slow. So since then we have been hanging out and studying together.

I asked her a few weeks ago how she felt about us since we hit a bit of a rough spot over winter break where she couldn't seem to hang out. She said she liked what we have, and when I asked her if she saw it going anywhere she said yes.

Since then we have spent time together twice, once at my house and once at hers. Both instances involved us laying curled up together and watching a movie. After driving me home the second time we kissed in her car. So since then that's been a thing.

I asked her if I could take her on a real date and she smiled and agreed, and now seems kind of excited. I guess my question is how do I bring up the topic of us being in an official relationship? To see if she's ready or not. I feel really awkward when I think about bringing it up. Could it even be too soon to be considering this? I just need some help.
<bot>: Been spending a lot of time with this girl that wanted to take it slow. After kissing and cuddling how do i ask about a relationship?