Edmonton went 1-for-5 on the power play.
"We have a good power play," Oilers defenseman Darnell Nurse said. "There were some chances across the goal line there. Give them credit, they checked harder."
It appeared Matt Dumba made it 2-1 at 7:46 of the second period, but video review concluded Gaudreau entered the zone offside.
However, Gaudreau scored at 9:39 when he one-timed a backhand feed from Boldy for the 2-1 final.
"Great play by [Boldy]," Gaudreau said. "He's just so strong, so smart, so great play by him."