While you're in Lee Vining (the town adjacent to Mono Lake) you will want to have lunch at the Mobil Station on Hwy 120 right near the junction with 395. Yes, you want to have lunch at the gas station. The food there is absolutely incredible. Not your typical coke and corn dogs. You will be amazed at the menu...
Enjoy your trip. The East side of the Sierra is one of my favorite places on the planet.