This Achievement will unlock early in the story progression of the single-player game.
Shortly after Banjo arrives in Showdown Town, you will be asked to drive the trolley cart up the winding road to the top of Spiral Mountain. When you reach the top, speak to L.O.G. and he will give you the Nutty Acres Game Globe. Just roll it down the hill and use the wrench (R-trigger) to place it on its plinth and unlock the Achievement.