It's a short walk (or bike ride) from Monmouth University. From here, you can go up to NYC and take in a museum or go down to Point Pleasant for a little fun.
If you know another way to get around NJ, I suggest you take it, because NJ Transit is by FAR the WORST public transportation system in the WORLD!! (and I've traveled a LOT!)
If you don't hate Nj Transit yet then you obviously haven't ridden it enough, count your blessings and hold your breath....you are in for a disappointment :-/