Those looking for a good art gallery in Moncton exhibiting works from Acadian and Canadian artists can head over to the Aberdeen Cultural Centre located at the corner of St George and Botsford Streets. This historic building houses 2 or 3 art galleries on the main floor, artist studios and a café (main floor as well). Artistic events of all sorts (concerts, performance art, poetry readings,etc.) are often organized there as well. Take a look at their schedule for a list of current and upcoming exhibits/events:
The Université de Moncton art gallery, la GAUM, located on the university's campus, often exhibits interesting works as well (usually from Acadian artists). The schedule can be checked here (in french):
Don't forget to visit Centennial Park or even tiny Victoria Park. Centennial Park has miles and miles of walking trails and demanding mountain bike trails. Victoria Park is, ahem, a notorious gay pickup joint late at night. In the daytime, there are often concerts or craft fairs.
In Sussex, right beside the highway headed toward the mountain, there is an emu ranch. The owners were very friendly and took me on a tour of their barns as I was biking through.