What are social norms for a first date?

So I have a date with a girl I have been crushing on for a couple of months, we are going to walk around a castle in the city we live in and go and get something to eat afterwards. Though what are the social norms that people do on first dates, like hand holding, do I kiss her goodbye, etc.

For those who want to know our current dynamic:

I met her at one of the university societies I go to (I'm first year she second, and shes only a couple of months older than I). She wasn't there every week, nor was I tbh, but always sat on a different table, though I thought she was cute though had no excuse to talk to her other than infatuation which I feared would make me look creepy. So initially put it down as just a simple crush I would have and be able to do nothing about it.

On Halloween at the pub after the society, I (in a full out skeleton costume) sat next to her by pure chance, and along with playing a game with the group started talking to her, and nothing really happened bar the fact we discovered we had a mutual interest in Harry Potter.

Then a couple of weeks later we discovered we are both fans of a tv show, and people started shipping us that night, and she bought me a drink. The following week people who were unaware of the initial shipping started to do such. Then the week after I kissed her on the cheek twice, and often we would hang out slightly away from the rest of the group, a few days later I asked her out, she said yes, though we then both went home for Xmas.