Nice tourist shopping within walking distance. There is a free shuttle that goes from pier down the street to the shops. Use public transit, very reasonable and can get anywhere by ferry or bus (can buy unlimited day passes). Try a 'dark and stormy' made with local Goslings rum...yum!
Golf course are very nice, cost about $170 for cart and club rental. Check out Port Royal and play the back nine.
No liquor is sold on Sunday's (can drink in bars, restaurants, etc..) and most town stores away from pier are closed (good beach day). The information center at the end of the pier also does some duty free liquor but have to be in port at least 2 days with the last day not being a Sunday.
It rained the day we were in Boston which made things a little harder. We used the bus/subway system which was pretty easy to navigate and was only two dollars per person or sixty cents for a senior (ask bus driver for senior rate when you get on).
We took the subway to the North end of town (little Italy, north church, Paul Revere's house) and was charming. Lots of walking.
Great lobster place near port called Yankee Lobster where the locals go to eat. Very small so go before or after normal lunch hours.
This is a tender port, so get up early and get your ticket on deck 4 atrium or you will need to wait a few hours to get off the boat. We had number 20 and got off the boat around 2:00 p.m. (arrived around 11:30)
This is a charming seaside town, great shopping. Recommend tour of mansions or walking the ocean cliff walk as well. Great lobster places around Bowen's pier. Most places are busy doing final construction work for the high season and may not be fully ready for folks until later in June.