First let's get something straight. You're not in love. You are in infatuation, aka the "honeymoon period" or "new relationship energy". You like that someone liked you. This happens in almost every new relationship, no matter how short the relationship was.
Second, she was very huggy and affectionate, that does not mean she wants to see you again. So don't assume things. However you can ask to see her again if you get her number. It costs nothing to ask.
If she gives you a fake number it means she doesn't want to see you again.
I have a long time interest in psychology, specializing in relationship dynamics for 30 years.
(Please note, we give the best advice we can based on the information given in a post. For better advice, please include the age of all romantic partners.)