Actually, no, Bozeman is technically a desert, so it doesn't get a lot of snow. It does, however, get cold in the winter. A typical winter has at least a couple weeks during which it never gets above 0 degrees Fahrenheit. Snow generally arrives around October, and while not a huge amount, it usually sticks around until March or April. However, the summers are absolutely awesome with lots of outdoor activities to do. There are also two really good ski resorts near town for the winter.
All that being said, Bozeman is starting to become an expensive place to live. But you are less than thirty minutes from being outside of civilization. (I went to school at Montana State in Bozeman, though I currently live in Kalispell, MT. It is a much better place to live, in my opinion, but it doesn't have the same job opportunities as Bozeman.)