How is this not checkmate? I had loads of time to spare See below my game last night, I am white and I got 3 queens. He only has the king left. We have loads of time left. It was a 30min game.

As soon as I moved my original queen up one space and got him into check mate, the game ended as a draw! 

How is this a draw?
A necessary condition for checkmate is that the king is in check, which is not the case here.

The position in question is called stalemate: black does not have any legal moves, but is not in check. The game ends at this point, and is evaluated as a draw.