19F hooked up day before we hanged out M20

I m20
A month ago I’ve began texting this girl. We had been texting for around a week, and agreed to hang out .Had been texting with this girl. We had sex the day we met and she told me she hooked with a situationship the day before we met.

Anyways. We had good sex, agreed to become exclusive. She apologized for telling me etc, and her actions, and that she had no feelings for her failed situationship whom she hooked up with (no unfinished business) and have been acting amazingly the last month. I’m still a little knocked off by her behavior, but she had been treating me amazingly, making me breakfast, taking initiative to hang out etc etc. overall she’s a green flag. Doesn’t party a lot, wants to see me every week and so on. Works out like I do, so gym dates and so on.

We both have around the same amount of past partners (she has a few more), although I would be her first relationship. She shows me a lot of affection and love and I don’t know how to reciprocate it, but I want to.

How do I get past this feeling? They have been more present the last week or two, were I’ve had a lot of school work etc.

I don’t know what to do. I wish the feeling would’ve fade and I’d like to work towards a better mindset.
I guess I feel like sex equals love?

TL;DR
Met girl, she had sex day before we hanged out. She cut contact with him. She’s been seeing me, acting lovely towards me, I have met her parents (first guy to do that) but the thought of her past bothers me.