This position is a draw, much to white's dismay. It looks like white can win easily, but black's king is in the corner where the pawn needs to promote, and white's Bishop stands on the opposite color as the queening square. Pushing the pawn at the moment just loses it, so white plays 1.Kg6. Stalemate again! If white plays his bishop away to e4, then play continues 1...Kg8 2. Kg6 Kh8 3.h7 stalemate. However, white would win if his bishop stood on a black square, because he could force the enemy King away from the corner.
My advice: Don't get into such positions
