Turbo Up The Hill

Quite some time back when I was going to Genting Highlands, one car over took my car and it was a Volkswagen Golf which was fitted with turbo and it was flying up the hill like so freaking fast with the turbo. It was like just a game for that car. Then I really started to wonder, wont the turbo get work out when you keep on changing your gears too often? Something for me to wonder