If a bot finishes a game by buying the last province or emptying the third pile, his final turn (his actions) is not shown on-screen. Instead the game moves directly after your last turn to the results screen, and you can only read in the log how you actually got there.
Also, I've noticed that in games with 3 or more players, you don't see your opponents' piles, and I haven't figured out a way to make them visible yet.