The above is the link to the New Jersey Transit website.
Using their trip planner for a hypothetical trip starting tomorrow, October 12, at 9:39 AM from the Newark Airport rail station, there looks to be at least one train every hour through 12:07 starting at 10:07 which go directly from the airport to Little Silver (and beyond).
Short version is that you take the "air train" from the main terminal to a transfer station, where you board a "real" train for the rest of your trip to Little Silver.