Yes - Moncton, and all of Atlantic Canada are considered to be part of the home markets for BOTH the Montreal Canadiens and Ottawa Senators.
For SOME games against Montreal, the Centre Ice channel MAY be blacked out for Atlantic Canadian fans, forcing you to watch it in french on RDS.
There's also one game between the Leafs and Senators (Thursday, April 3rd) that the Senators are offering via Pay Per View. As you live in the Sens 'local' region, the Centre Ice channel will be blacked out for you for this game - your only option is to purchase the Sens broadcast.