I note that you have an aftermarket intake pipe fitted. My guess is that the PCV hose that you are pointing out ought to be tapped into your intake pipe, to put some positive air pressure into the engine, for the PCV system to operate correctly.
If you look at most electronic throttle body LSx engines, you will see such a pipe attached to their intake somewhere, then running into the rocker cover.
On the cable throttle engines, the PCV hose ran from the throttle body to the rocker cover, like so -
cheers