When I moved to NYC in the summer of 2009, my wife Hannah and I went straight to Central Park and the Belvedere Castle. It was the first time I fully grasped that I lived in New York and it felt euphoric standing on that hill. For me this place is still a romantic symbol and reminder of the spirit and essence of the city and the reasons I live here.
Its quite a trip out there but so very worth it if you wanna have the very special beach-experience! You can go there by car and then take the ferry either to Pines or Cherry Grove (I would prefer Pines!) or you do all by public transportation - there a "getaway tickes" for 36Dollars and the transfer works really smooth - may even be faster than by car!