After a very cold night tonight with temps of around 30 degrees on Long Island, much milder weather is coming Thursday to Sunday with high temps between 55 and 65 degrees. However, colder weather is forecast to follow that for the following week. The GFS model is actually showing snow for Long Island on April 16th, but that is still highly unlikely.
The following image is from the Euro model, and it's showing high temperatures in the upper 50's for next Saturday:
Image from eurowx.com