I have not been to a lot of hills, but most blue runs are groomed. They just tend to be steeper sections that may be a bit intimidating for beginners.
...Also it'll have to have snowed the night before you go to see powder because EVVERRYYYOOOONE eats up any route with powder the very second they see it.
If you do happen to ride in powder(snowing that day), you may be in for a very tiring day trying to pick yourself up again and again. Riding well in powder is very much a learned skill more than the board you ride.
Anyways, that's a bunch of "what-ifs". Just concentrate on learning your basics and keep progressing. I'm sure you'll have a blast out there.