Under the stars, next to the Sierra
There is Pleasant Valley Campground, and if you cross the street and drive a little bit in you can get to Pleasant Valley Pit. This place has no shade, no trees, but amazing view of the Sierras. Dogs are allowed. Bathroom available. And is only 2$. This place is also close to other attractions like hot springs, Happy Boulders area and local hikes.
You will find mostly two groups of people: rock climbers and fishers. Around 20 min drinking from Bishop, it makes a convenient place to relax from your recreational activity or road trip. Sunsets are amazing.