Should be a flat fee of $35. Anywhere in the 5 boroughs from either JFK or LGA are now a flat fee. The driver is not supposed to turn on the meter. Make sure you go to a cab stand at the airport and see the attendant. He will tell you exactly what the fare will be, and make sure the driver doesn't charge you extra.
Check out this post for more info: [
newyorkrelocationguy.com]