I have a 2011 Duramax 2500HD which has the same frame and suspension and with a 3400 lb camper load when driving back from the dealer in the eastern sierras of California and back to the coast I had full control of the load with the stock suspension, shocks, tires, etc. and no need for adding anything.
I later added Supersprings and replaced the tires to ones with a 3750 lb load rating as with the tanks full and a boat the total load is 4000 lbs. but it was to provide an extra margin.
I would not touch anything other than adding tie-downs until the camper is on the truck and you have had a chance to drive it. The GM frame and suspension was greatly improved in 2011 and the reported increase in stiffness is something I can personnally attest to as being true.
It would be very different with a Ford heavy duty truck or the Ram 3/4 ton trucks (only the 1-ton Ram trucks got the new stronger frame in 2013).