What you have there is the original Gameboy (or possibly the Gameboy Pocket or Gameboy Light) and only original Gameboy (or GB as they also called) games will work on it.
Because Pokemon Red, Blue and Yellow are original GB games, they *will* work on the Gameboy model you have.
Because Pokemon Red, Blue and Yellow are original GB games, they *will* work on the Gameboy model you have.