Gambling includes plethora of games, various sports to bet on but doesn't it all boil down to money in the end? More the money involved, more the thrill.
Suppose, as title says — you had infinite amount of money, would you still gamble?
Personally, I can't see myself giving two fucks when I don't care for money in first place. Would you?
If I had an infinite amount of money, I would most likely stop getting strong emotions from gambling. I wouldn't care about the outcome, whether it was a win or a loss. That is, gambling would cease to be interesting. Such a rare event as winning would lose its significance.
Well, then why would you keep playing if it wouldn't bring any emotions? After all, gambling is not a form of earning money; it is more of an emotional experience, but it is strongly associated with an economic incentive in the form of winning or losing ("reward" or "punishment").