Is Grand Central open 24/7?

I'm asking because I want to go to a concert at Madison Square Garden but I'll be taking the Metro North commuter train since I live in Connecticut. However I will miss the last train and will be stuck in NY until the morning. I don't wanna spend a couple hundred bucks just to stay at a motel. Would I... show more I'm asking because I want to go to a concert at Madison Square Garden but I'll be taking the Metro North commuter train since I live in Connecticut. However I will miss the last train and will be stuck in NY until the morning. I don't wanna spend a couple hundred bucks just to stay at a motel. Would I be able to hang out at Grand Central till the morning? What else could I do to kill some time in the area?
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