You can also go by train. VIA has a train that takes you right down to Moncton, and you can hop off.
From my back door in Fredericton to my daughter's house in Guelph is about 14 hours by car, all of it on four lanes. You literally can get to the Bay of Fundy on a four-lane highway, with the exception of maybe about two hours on a little strip through Quebec, which as of 2014 will be four lanes. Then from Fredericton to St. John, or from Fredericton down to St. Andrews, would be another hour or hour and a half. Then of course there is the Nova Scotia side. From the perspective of flying, driving, or going by train, it really is quite easy to get to, with a number of options being available.