What Should I Wear to Go Ice Skating?

This weekend I'm going ice skating and I don't know what to wear. I've been ice skating before and wore jeans and I was fine so I'll wear those (plus I only own running shorts and HATE sweatpants), but what type of upper body covering should I wear? I don't remember from the last two times! Should I wear a scarf? Any cute suggestions would be nice as this is a first date.