If it's the governor spring you're referring to its job is to find the happy medium between the governor pushing the throttle butterfly to the fully closed position and it opposing it to the fully loaded position. This normally bets tension once the motor is started and the governor engages.
There is no spring connected from the governor arm to the choke. the choke on a GXV340 is normally mechanical and is controlled by a light grey plastic lever protruding just under the air filter. There is a light spring that runs in sync with the governor linkage which is connected from the governor arm to the throttle butterfly. This is an anti oscillation spring which stops the motor hunting.