No one. You wouldn't be a rookie if you had already been MVP
Of course, if you're looking for a playoff MVP (Conn Smythe Trophy), Ken Dryden would fit that description.
No rookie since the NHL's inception has ever won the Hart Memorial Trophy (The league MVP trophy which was first presented in 1924) in his rookie year.
Sergei Samsonov of the Boston Bruins.
Buffalo Sabres defenseman Tyler Myers
1970 Bobby Orr Hockey NHL MVP
Bobby Orr the rookie of the year trophy is called the Calder (Memorial) Trophy http://www.hockeydb.com/ihdb/awards/awarddetail.php?award_id=17
Tony Esposito, who holds the modern era record for most shutouts in a season (15), achieved his shutout record as a rookie. Though he had played 13 games the season previous, he was still considered a rookie and won the Calder Trophy, the NHL's rookie of the year award.
The Calder Memorial Trophy is rewarded to the most profecint first-year rookie in the NHL. Because of the player it is awarded to, it is sometimes called the rookie of the year award.
Next year
Bobby Orr was the 1967 Caldor Memorial Trophy winner (The NHL's equivalent to rookie of the year).
seron blekie
Darrell Griffith was the 1980-81 NBA Rookie of the year. During his first season in the league, while playing with the Utah Jazz, Griffith averaged 20.6 PPG, 3.6 RPG, 2.4 APG, 1.3 SPG and 0.5 BPG in 35.4 MPG.
Terry Sawchuk of the Detroit Red Wings.