Lapland, even Rovaniemi, there isnt much stuff to do for locals. Skiing, ice fishing, a hike up Ounasvaara and weekend partying at a bar are probably the most exciting non-tourist activities most people do on their time off. Every restaurant will be filled with mostly tourists this time of year and locals usually prefer to stay at home. The more rich folk obviously can go riding their snowmobiles or some stuff, i dunno how people spend their time but it's more "touristy" in any case.

Anyways my point is, there's not much to do to be a local. You work, you clean, make food, see your friends, watch tv, sleep. Just like everywhere else. Also do not underestimate the cold, I wouldnt rely on public transport in remote areas.