There are multiple viable options for a day trip to visit some of the Mayan ruins, which are truly a sight to see. One of the New Seven Wonders of the World and most notable ruin site, Chichen Itza, is about a 2 hour bus ride from Cancun, while Tulum is another great alternative for those who do not want to make the longer trip. Either site is worth it.
You are on vacation! There are multiple dining and beverage options on the resort. The resort also offers access to other AMresorts for dining options including Dreams Riviera Cancun which is in close proximity to the resort.