Shediac is only 30 minutes east of Moncton. It’s the self-claimed “lobster capital of the world.” It has the warmest waters north of the US on the east coast of North America, but I didn’t go during lobster season so I didn’t get to eat any fresh lobster there.
It’s a lot nicer in summer when there are lobster festivals and boating events going on on its bit of the Atlantic coast. Shediac’s old train station is supposed to be a museum, but I think that was closed for winter, too. Don’t miss the giant lobster at the western entrance of the town, but its parking lot is closed during winter. No surprise.