If you're visiting the city during the winter and are looking for something to do with kids (or maybe kids at heart ?) that's free, you might consider going tobogganing at the Potato Research Center (PRC), referred locally to as the "Experimental Farm".
Did I mention that it's something you can do for free ?
The hill is located just east of the entrance to the PRC off of Lincoln Rd., and you can use the parking lot at the top of the hill.
As well, there's often a skating area on the other side of Lincoln Rd., across from this hill.
Equipment: If you don't have, or can't borrow a toboggan, improvise!
A sheet of cardboard, pick up an inexpensive plastic slider at the store, or maybe you can get ahold of a large rubber inner tube somewhere.
Snowboarding and skiing about 40 min outside fredericton. Small hill with 15 trails. Good for beginners and moderate level snowboarders and skiers. Makes for a nice day trip....
Equipment: Rentals are available....(snowboards, skis, snowblades)
good old golfing...(kingswood lynx). Was recently rated among the top golf courses in Canada!!! Very new course, only about 2 years old. Might not even be in some travel books!