Ireland Island south is separated from the north section by a man made channel, cut for defensive purposes, so you can walk from The Dockyard across the short bridge to Ireland Island south.
Across the bridge you will find some housing and lots of photographic scenes.
You can explore the convict cemetary and then spend lots of time looking through the military cemetary. Take time to read the inscriptions on the head stones it will give you an insight into what life was like in the past.
Walk around the roads and you will find a couple of parks and small beaches, some with all sorts of interesting finds.
There are bus stops just by the bridge to Ireland Island north and another one overlooking the west shore near Black Bay if you wish to use the public transportation system (a great way to see Bermuda).
Walk and look and enjoy yourself. Quiet and peaceful!