Restoration Village (http://www.restorationfarm.com/).
They are a CSA (community supported agriculture) farm but they also run a
farm stand that's open to the public on Saturdays 11am-2pm in the Old
Bethpage Restoration Village parking lot. It will run through October, and
you get to meet the farmers who actually grow the produce - Caroline and
Dan. It's kind of a neat experience to support local farming. You can
check out this link for more information if you're interested: