She said she's interested but wants to get to know me better? HELP?

Anonymous
Bear with me because I'm very confused about this situation.

We've been seeing each other for a couple weeks now, she's a good and very smart girl. We hung out like four times and she started talking about what she likes in a guy, when I asked her if she was single she said yes and asked me if I'm single.

I was at a party with her one night and I got drunk by accident and told her I liked her, she said something like "glad were on the same page", she called me today to ask me out to lunch. She told me she's interested in me but wants to get to know me better, she likes being with me but is hesitant to move quickly because she just got out of a relationship a few months ago. I asked her if she wanted to continue seeing me and she said yes and we should just take it slow and see what happens. She's also going to med school next semester so I dunno.

I'm really confused because I don't know exactly what this all means. Any help?
She said she's interested but wants to get to know me better? HELP?
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