Today was the inauguration of Place Bell, and they announced part of their parking strategy (hockey + concerts).
People will be able to park at City Hall (600 spots), and they provide free shuttle 90 minutes before the event.
The parking is at 3km from the venue. To compare, the old Coliseum is 5km from the new venue, so that options could be possible, but I doubt Moncton would offer that service for free.
On another note, here's a shot of the rink with the light show, and the scoreboard. It could give an idea of the type the new Centre will get (size wise)