A right-handed shot, right-wing, as noted. Kurri at his best (1982-83 to 1990 playoffs, with a dash of autumn 1992 in L.A.) was an absolutely incredible player. Though he quickly went into the Hall of Fame and has his accolades, I feel he's still underappreciated.
He wasn't highly touted, but I don't think any Finnish players really were, back then. They were all still somewhat off the radar. In 1979-80, he scored quite a few goals for Jokerit (and 11 points in five games at the World Juniors) but still, as mentioned by Phil, went 69th in the NHL draft.
He wasn't huge, but he was big and strong, incredibly solid on his skates. Hockey Ref. lists him as 6 feet, 194 pounds, which isn't small at all. (He was probably quite a bit lighter in his earlier years.) I don't think I ever saw Kurri throw a physical bodycheck in his entire career, but I did see a few guys bounce off him.
He was equally adept at scoring from powerful slap-shots (often one-timers on Gretzky passes), wrist-shots, or from dekes/snappers in tight. Conversely, I don't think I ever saw him score on a deflection, and only rarely on rebounds from around the crease.
There was a great sense of elegance (relative to hockey, that is!) about the way he played. He was a smooth, graceful skater with measured but steady stickhandling. Even when he was blasting slappers into the top-corner, he seemed to do it with grace and ease.
As a kid, I admired Kurri so much for his sportsmanlike play. I never, ever -- like, ever -- saw the guy strike another player, stick someone, or contact anyone after the whistle. That's why I was pissed when people took unsportsmanlike liberties with him. The Flames brought up Neil Sheehy, who wouldn't have made most AHL teams, to cross-check and whack Gretzky and Kurri, often after they scored. Bob Probert did one of the worst cheap-shots I've ever seen in the '88 playoffs after Gretzky circled the Detroit net after a turnover and hit Kurri for the open-net goal. Well after Kurri scored and raised his arms, Probert cross-checked him hard in the back, sending Kurri to the ice where he was incapacitated for a while, but fortunately seemed not seriously injured (though he wasn't quite as productive after that).
There's also a misperception that Kurri was purely a sniper. In fact, he was a superb playmaker and an excellent defensive player. He was top-10 in assists three times and is 10th overall from 1982 to 1990. And the ten years he played in Edmonton, he went +373, second only to Gretzky in the NHL (higher than guys like Bourque, Mark Howe, and Larry Robinson).
The 4 times Edmonton won the Cup with Gretzky on board, Kurri led the playoffs in goals every time. He also had a 3 goal, 2 assist game in the Finals in 1990. In fact, when he temporarily "retired" in 1990, he left the NHL as the #1 playoff goal-scorer in NHL history. He was incredibly clutch, especially c.1987 to 1990. He scored in overtime in game two of the '87 Finals. He also scored the Cup-winner in game seven. He scored the game-winner in game 1 against Calgary in 1988, late in the third. He then scored the game-tier late in the third the next night, before setting up Gretzky's OT winner. He then scored the OT goal that effectively beat the Red Wings in game four at the Joe. In 1990, he scored the late third-period goal that effectively crushed Winnipeg in game six (and struck again in game 7), and set up Klima's famous OT winner in game one of the Finals (and then, as mentioned, had a five-point game the next night).
Just for fun, check out his three-season stats for 1983-84, 1984-85, and 1985-86: Kurri scored 191 goals in 215 games, while going +162.