Hurricane season in the autumn brings the best swell to New York and New Jersey. Winter is equally consistent with north-easterly storms tracking up the Atlantic coast. Temperatures drop to little above freezing in the winter. Summer is obviously warmer but less consistent, bringing beach restrictions and poor surf. A thriving surfing community has existed since the area was first surfed by Duke Kahanamoku in 1912. Facing west and south-west New Jersey's southern reaches are more widely surfed than the northern areas excluding the famous Sandy Hook point-break. New York on the other hand has mainly south-west facing beach breaks some right on the city's fringe. The Montauk area has possibly the most consistent waves.
These are either live cameras and video or a daily photo taken by a surfer. The former has the advantage of being up to the minute, the later is more likely to be taken to accurately reflect the current conditions - streaming video cams give the best of both worlds. Check the update date carefully.