Teams that win Game 1 are 495-224 (68.8 percent) winning a best-of-7 Stanley Cup Playoffs series, including 5-2 in the first round this season.
Game 2 is here Tuesday (7:30 p.m. ET; NBCSN, SN, TVAS).
Goodrow, who scored 20 points (six goals,14 assists) in 55 regular-season games, made his 2021 playoff debut Wednesday when the Lightning eliminated the Florida Panthers with a 4-0 win in Game 6 of the first round. He missed the first five games of the series because of an upper-body injury.
"He usually doesn't get his accolades from getting game-winning goals," Tampa Bay coach Jon Cooper said. "He's usually the guy stopping game-tying goals from happening. So you're really happy for guys that are team-first players and have an opportunity to bask a little bit in the limelight."
Brayden Point gave the Lightning a 1-0 lead at 8:15 of the second period when he slipped through two Hurricanes in the low slot on a power play to redirect Victor Hedman's pass through the five-hole.
Bean tied it 1-1 with a power-play goal at 1:41 of the third period. His one-timer off a pass from Andrei Svechnikov hit Anthony Cirelli in the slot before going in under the crossbar. It was Bean's first NHL playoff point in his seventh game.
"It's nice to see that go in," Bean said. "I think we have another level, and I think all the guys in the room agree with that. We knew this wasn't going to come off without any adversity."
Carolina had seven shots on goal against Vasilevskiy on five power-play opportunities.
"He's the best in the League, the best in the world," Brind'Amour said. "We knew that coming in. We've just got to figure out ways to make it harder on him. It's pretty much exactly what we thought as far as his performance. Now we've got to just keep trying."