The hose in the picture? If it's like on a 3.1 in a Malibu, that's part of the vacuum feed to the PCV valve, and one I had to replace this past year.
If you'll go to
this image from the GM Parts Giant website, see call outs 574 and 576? I think you're pointing to 576, but it came for my 3.1 with 574. And the grommet where it fits into the upper intake was what was bad on my Malibu.
That's the curved hose at that location by the EGR valve, anyway.
RwP