In Mashantucket city center you will find Mashantucket Pequot Museum and Research Center, along with many other popular sights and things to do.
Getting to Mashantucket city center should be easy enough, as it is just 1.5 mi away from Great Cedar Hotel at Foxwoods. momondo would advise you to check with the front desk before taking a swim. Be advised that hotels typically have rules associated with pool usage. Great Cedar Hotel at Foxwoods does have a pool on site that hotel guests may use.
The nearest airport to the hotel is Providence-TFGreen. Driving time can vary based on the time of day and traffic.