Wyoming is one of the bigger states in the country, and all of that land and sky makes for something of a blank canvas when it comes to planning a trip to theses parts. Most visitors come here to see their natural wonders in general and Yellowstone, Grand Teton, and Glacier national parks in particular, but there is plenty to see beyond their boundaries: top-notch museums; fun college, resort, and authentic Western towns; crystal-clear lakes and rivers for paddling and fishing; and vast tracts of open space.
As far as a time commitment goes, 1 week is a bit short for a trip to Montana and Wyoming, but you can scratch the surface of one region in that time -- say, Yellowstone or the Flathead Valley in Montana. Two weeks is much better, giving the opportunity to delve deeper into one region or travel between the Greater Yellowstone Ecosystem and Glacier National Park.
But with all of that real estate, it's important to not stretch yourself too thin: It's better to be out on the trails in the Rockies than behind the wheel of a car. Take time to explore places well off the beaten tourist track and breathe the fresh air, take in the views, and really, truly get away from it all.