Cayo Levatano is a small island off of Samana D. R. You'll have to check with your ship if this excursions is available.
This is the write up I saw on the island.
This island, though choked with tourists, has a beautiful white-sand beach. Due to the island’s protected positioning in the bay, the waters are calm, shallow with a plush sandy bottom, and warm. This is an enjoyable place to take the family.
It’s easiest to obtain a ride to Cayo Levantado by going directly to the Port of Samaná, where boats will take you there for US$5–10 per person. Alternatively, about 10 minutes from town up the Carretera Las Galeras, on the right-hand side, is a parking lot with a big sign that says Al Cayo; here you can make a deal to go to either Cayo Levantado or to Los Haitises. Along the same route, farther up the hill and on the right, is another boat-launching point called Simi Baez. A fair price for these boats to ask is US$25–30 per boatload (eight people). Make sure you agree on the price before boarding.
After disembarking on Cayo Levantado, follow the crowd to the left and you’ll eventually see dozens of booths selling crafts; past there is a beach where you can rent loungers for US$3. Food vendors sell ice-cold beers (US$3) and plates of freshly fried fish with rice and salad for US$9. Beware: The trinket-hawkers are everywhere and rather persistent. In 2005, there were no hotels on the island, but plans and construction have begun for one.