Tampa Bay's second line of Point, Ondrej Palat (one goal, one assist) and Tyler Johnson (one goal) combined for seven points after it was minus-12 in Game 1 (a 6-2 loss).
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"They rose to the occasion," said Lightning coach Jon Cooper, who challenged the line to be better after Game 1.
Charlie McAvoy and Torey Krug scored, Brad Marchand had two assists, and Tuukka Rask made 27 saves for Boston.
Game 3 is at Boston on Wednesday.
"We knew they were going to bring their 'A' game," McAvoy said. "You don't want to ever let two slip away at home, so they played a better game. We had flashes of a good game. … but they threw it at us. If that's their best, we play our best, we'll be able to match that. It's fine. Just like always, we're going to take the good, assess it, make sure we can continue to do the good and fix the bad, and move onto Game 3 and get ready for it."
Gourde gave the Lightning a 1-0 lead with a power-play goal at 11:47 of the first period. After receiving a cross-ice pass from Point, Gourde scored on a shot from the left circle that deflected off in Rask's right skate.