Looks like a dead draw to me. All white has to do is keep his rook on b1/b2, and his king on g2/h2 and all his pawns are protected. The black king can't do anything as it's completely blockaded by the pawns.
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As Tenna says, it's a draw. Black's king has no way to progress. His rook can't do any damage on it's own. I think if those pawns weren't doubled, one of them on the a-file, it might still be a draw if your opponent knows his rook endgames.
I'm glad you both said that. There's something galling about offering a draw when you are material up, even if it's just a single pawn. Still, better than a loss.
Draw because those pawns are doubled and can't move.
OK chessnuts, here is a position where I was black. The game was drawn by agreement, but what I want to know is, was there a forced win here, Black being a pawn up? Lets see what you've got people...
Sorry, should say 'Black to move'.