Gaillardetz made the game-winning five-yard catch with 1:19 left in the final quarter.
On the Rams' final drive, Emmett Steadman made two catches for 27 yards but on a third down and a yard, Marshall Erichsen was stopped in the backfield.
Arnaud Desjardins had 281 air yards including a 75-yard touchdown pass to Olivier Cool in the second quarter.
Mathieu Roy recorded 67 yards on the ground.
In the second half, Felipe Forteza sent a field goal attempt to a post, but he also found the target from 32 yards. This broke the 7-7 deadlock midway through the final quarter.
Regina took a 14-10 lead on a 36-yard touchdown run from Erichsen with 3:45 on the clock.
When the Rouge et Or regained the ball, Gaillardetz fueled the push with a catch for a first try. Roy gained ground with a pass and run game, then Desjardins got a first down with a solid run.
Andrew Menzies chipped in with a 13-yard catch and Cool added two more receptions, before Gaillardetz's touchdown.
The game was played at the Saskatchewan Roughriders' Mosaic Stadium, which seats approximately 33,000. Around 2,500 people were there on Saturday.
At the Vanier Cup, Laval will face the Wilfrid Laurier University Golden Hawks, victorious 48-24 against Bishop's.
This match will be presented next Saturday in Kingston.
The Rouge et Or will be looking for a 12th Canadian title.
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