i greatly suggest something fun both of you haven't really done before, it allows you to learn together while also experiencing a sense of discovery; which can also serve as an ice breaker a bit, takes the awkwardness of finding things to talk about. It also makes her think of you as more of a fun guy and care free per se.

The actual thing doesn't matter much just that its more of a shared experience. but Ice skating and maybe some food if things are going well would be a great date this time of year.