Hey there,
I had the same questions as you and will try to give a more useful answer than "yes.you.can", even if it does get me banned once more, right, Rob Lockster?
Resorts in Switzerland are typically arranged by town. There are no real individual resorts like you would find in, say, the US at Lake Tahoe, where there is one city with many resorts nearby. Here it is one tiny city at the foot of the mountain, and then you go up to the mountain. So what you need to do is basically catch the train to the nearest ski-town, and at the train station of said ski town there are always busses that take you right to the bottom of the ski lift.
When you arrive to (insert name of preferred skitown here), ask at the train station info desk how to get to (insert name of preferred resort here). You can buy your day pass (lift and bus) right at the train station. Then getting on the bus is easy matter.
In terms of resorts, I was just in Frutigen yesterday, which is a 45 min train ride from Bern, but it is smallish and best for beginners (though it is open already). The bernese oberland is quite famous for good resorts (Gstaad, Grindelwald, etc), but Valais is also really nice. For maps and up-to-date weather reports you may want to check out:
http://www.soulrider.com
Hope this helps!