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That the noise from the evaporative system purging and stabilize the vapor from the fuel system. You will hear the same noise after the car sit for over a few hours or over night also. Don't be surprise if you walk into your garage and hear some strange noise from the GS, it's sound like your PC when you first turn on.
There is a vapor pump which runs after you turn the vehicle off for about 30 seconds. It also runs several hours after the car has been turned off so don't freak out if you hear it.
I hear it on mine and it only lasts 1 maybe 2 seconds. It happens after I shut off the car and the moment I open the door whether I open it immediately or a minute later. No other time have I heard it.
I also thought it was from the headlights. I hear the same type of buzzing when I'm coming home into the garage after releasing the steering wheel to unwind after a turn. I though it was the adaptive headlights positioning back. Of course the sound is not as audible b/c of the engine noise, but you could still hear the same buzz.