Vessel 1 with 4 persons on board entered Montauk Inlet enroute to Lake Montauk in order to anchor and have lunch.  Vessel 1 headed east in lake Montauk Channel passing Green buoy 1 (opposite Montauk Yacht Club) and ran aground 100' south of buoy 1.  Passenger A, standing in companionway, fell backward to lower deck galley area, hitting head on overhead, landing on right side head, shoulder, and hips.  East Hampton Town Police notified USCG station Montauk also called and was enroute.
Montauk                       