Pokemon fire red after you beat Giovanni at the gym where does he go or do see him all that?

After defeating Giovanni at the Viridian City Gym, you won't encounter him again in Pokémon FireRed. His role in the game is limited to the Gym Leader battle, and he doesn't have a significant presence or appearances throughout the rest of the game's story.

Once you defeat Giovanni, you'll be able to proceed with the game and challenge other Gym Leaders to earn more Gym Badges. Giovanni's defeat doesn't lead to any specific events or changes in the game world.