There is parking and a hockey entrance located on the west side of the Wayne Gretzky Sports Centre.
There is a swim meet on this weekend so you will want to park in the west and south-west parking, you don't want to end up on the melted ice side of the centre.
See Map:
Brantford_WGSC_Parking.pdf
If you enter from Fairview Drive onto Walter Gretzky Boulevard, take the first right and park around the side and back of the centre.
If you enter from North Park Street onto Walter Gretzky Boulevard, take the first left and park around the side and back of the centre. (Go past the small parking lot between the arena and pools)
AVOID using the parking near the high school and football field. (They are the farthest away from where you want to be)