Highway 50 is one of my favorite drives. Sometimes you'll go miles at a time without seeing another vehicle. Make sure your rig is in good shape and you'll be fine.
East of Fallon, Navy fighters will buzz the road as they roar down the valley to practice their low-level runs. There's a Pony Express station at Sand Mountain. The shifting sands covered it up shortly after the Pony Express shut down, then the sand shifted again a few years back uncovered it. There's also another Pony Express station behind a fence alongside the road further to the east (Cold Springs?).
Austin and Eureka have self-guided walking tours of their towns. Walk through the Eureka Opera House, which was restored to it's original glory a few years back.
Ely is home to the Ghost Train and Nevada Northern Railroad. When the copper mine closed in the 1980s, Kendecott Copper donated their entire railroad - rolling stock, rail yard, track and buildings - to the town of Ely. Today it's a Nevada state park and is the best preserved short line railroad in the U.S.
Spend a few minutes walking around the Hotel Nevada in downtown Ely. It's the first high rise, fireproof building in the state. The main lobby is dominated by slot machines, but if you take the elevator upstairs each floor is decorated in a different theme.
12 miles north of Ely on Hwy 93 is the McGill Drug Store. When the mines closed, the owners just locked up the store and it remained closed until 1995. Today it's a museum - an old town drug store frozen in time.
If you stay on Hwy 50 through Utah, Delta was the site of a WWII Japanese internment camp. The local museum has a good interpretation of the camp, including a re-creation of one of the barracks used to house the internees. You can also drive to the site of the camp northwest of town - it's a desolate place, truly in the middle of nowhere.