I am not a teacher.
It means to win.
Blackjack is a casino game and the house stands for the casino.
Casino games such as blackjack, roulette, craps and so on are games in which the players don't play against each other but against the organiser of the game, or the "house". In order to win you have to beat the house. If it's an illegal or private game, the person holding the bank is also "the house".
The house holds an advantage over the player because the odds are unfavourable to the player. This makes beating the house more challenging.