The Icehotel has meter-thick ice walls and is composed entirely from ice. It is beautiful, unique, and really freaking cold at night. However, they do have heated rooms in normal buildings too.
While it might be fun to try the Icehotel for one night (they provide a thermal sleeping bag), I’m guessing the high speed internet access might be problematic if for no other reason than typing is difficult with cold fingers. Yes, I know, I’m a hopeless net addict with no appreciation for the finer things in life.