Hi,
I would say you should pay for her, I think it is a date, holding hands would be nice,if you are going to kiss her it will come naturally,if you don't kiss her while you are out,make sure you take her all the way home to her door,then give her a kiss goodnight,if it goes well just ask her if she would like to go out again,if she says yes,then think of different places to take her, holding hands for the first time with a girl you like is a beautiful feeling,enjoy your date,hope it goes well for you, Ray