Well, GPU fan on a JH should always be spinning. The new JZ models feature Optimus which use the intel gpu when you don't need that 'power'. But the JH always uses the gtx 780m. So, even at idle, its still at the very least pushing your display. Now whether or not its running fast/loud, I don't know.
If you could open up the asus gpu tweak program, there should be a area that shows current gpu fan speed. Could you check that and repost with answer.
That will be able to tell us if the speed is good.
As for sound, is it loud, or a slow/low hum that you can barely tell?
If you think its louder than that, then take a video with your phone or something, post it to youtube, and then reply with the link.
I know its not an answer, but if you provide us the fan speed and audio, we will give you a 100% answer if its normal or not. If its not, depending, we will recommend things to try to fix, or to send in for repair.