It is definitely not the normal way to pronounce the word. And it is not even a standard "alternate" or even dialectal pronunciation.
I have never watched an episode of Hannah Montana, and I do not know anything about the character who says 'gorgeous' in this scene. Maybe he pronounces lots of words in a different (non-standard) manner, or maybe this is just a one-time (or rare) thing. If so, it is mainly for comic effect. The character definitely knows he is pronouncing the word incorrectly, so it is not an accident.
Since the first g in gorgeous is hard, by pronouncing the second g as hard, rather than the way it "should be" pronounced, as a soft g, it makes the pronunciation sound funny, and that adds to the overall humor of the scene.