We walked toward town less than a quarter of a mile before coming to this nice open air restaurant with free email. It is very slow and expensive onboard the ship. We started out at Royal Village, across from the cruise port, at Cafe Punta del Cielo, but it was too expensive. We walked through the center and the adjacent hotel (Park Royal, all-inclusive and timeshare).
As I mentioned in the piece on Falmouth, I was once a real estate developer, so I like new centers such as Royal Village (style: Modern Mayan). For more information about the shopping center, see: http://royalvillageczm.com. Park Royal has a private beach for which cruisers can get a day pass.