Why is this a stalemate?

Thanks Hiram. I'm new to the game and did not understand this.

And, of course, is not currently in check either (that would be mate).

Also, if White had another piece that could move, it would not be stalemate then either (I've seen that confuse beginners too).

Black blundered with his last move, which was King from h4 to h3.

Instead, he should have played 1...Qe2!, giving White h1 and g1 to toggle between. Then White plays 2.Kh1 and Black can play either 2...Kh3 or 2...Kg3, doesn't matter which, and then after 3.Kg1, Black checkmates White with 3...Qg2#.

Sorry, can't remember.

It is stalemate because white doesn’t have any legal moves. Moving into check is not a legal move. Note that even if the king cannot move if white had some other piece or pawn that could move, then it’s not stalemate.

If the king doesn't have any legal moves it is a stalemate

This is obviously false. In the starting position, neither king has any legal moves, and it's obviously not stalemate.

Also, the question was already answered 10 days ago.

It just seems to me if you play your opponent into that position they should have to take their medicine and get beat.

A better plan is that you should learn what a stalemate is, and avoid it next time. Also learn how to checkmate with a queen, it's easy.