Gudbranson, Mike Santorelli and Scott Timmins scored against Carolina starter Cam Ward on three straight shots in a span of 1 minute, 54 seconds in the first period. That put Florida ahead 3-0 less than 6 minutes into the game.
Nathan Paetsch also scored and Joe Callahan and Evgeny Dadonov had two assists apiece for the Panthers.
Anton Babchuk scored a short-handed goal for the Hurricanes.
Ward made 17 saves in 32 minutes before giving way to Justin Pogge, who made three stops the rest of the way. Florida's Scott Clemmensen stopped 16 shots in 32 minutes and was relieved by Jacob Markstrom, who made the final 17 saves.
|Erik Gudbranson (1) Slapshot - ASST: Shawn Matthias (1)|
1 - 0 FLA
|PPG - Mike Santorelli (1) Snap shot - ASST: Jason Garrison (1), Joe Callahan (1)|
2 - 0 FLA
|Scott Timmins (1) Snap shot - ASST: Evgenii Dadonov (1), Erik Gudbranson (1)|
3 - 0 FLA
|SHG - Anton Babchuk (1) Snap shot - ASST: Patrick O'Sullivan (1), Tom Kostopoulos (1)|
3 - 1 FLA
|Nathan Paetsch (1) Snap shot - ASST: Evgenii Dadonov (2), Joe Callahan (2)|
4 - 1 FLA
|Power Play %||22.1%||13.3%|
|% on Road||10.0%||5.3%|
|% at Home||29.8%||21.6%|
|Mike Duco Interference on goalkeeper - 2 min against Cam Ward|
|Tuomo Ruutu Interference - 2 min against Shawn Matthias|
|Drayson Bowman Tripping - 2 min against Michael Grabner|
|Riley Nash Hooking - 2 min against Evgenii Dadonov|
|Keaton Ellerby Hooking - 2 min against Jeff Skinner|
|Evgenii Dadonov Holding - 2 min against Chad LaRose|
|Scott Timmins Hooking - 2 min against Riley Nash|
|Mike Santorelli Hi-sticking - 2 min against Tim Gleason|
|Tim Gleason Roughing - 2 min against Triston Grant|
|Triston Grant Roughing - 2 min against Tim Gleason|
|Triston Grant served by Mike Duco Roughing - 2 min against Tim Gleason|