It’s a favorite for good reason.An aerial exterior view of Gurney’s Montauk.Credit: Gurney's ResortsKey PointsWatch the sunset with a cocktail at Crow’s Nest, one of Montauk’s most iconic waterfront gathering spots.Climb the 137 steps to the top of the historic Montauk Point Lighthouse for sweeping views from the easternmost point of Long Island.Spend a day at Kirk Park or Ditch Plains Beach, whether you’re stretching out on the sand or trying y…