If you have a passport that allows visa free entry into the UAE, you can use the Smart Gates to your right in the arrivals hall. That should give you speedy entrance into the country.
There are theoretically First/Business Class lanes where you should present your boarding pass, but they are not useful unless you really need a visa on arrival and a stamp in your passport.
La Premiere is using "Marhaba Service" which is one of the two Meet & Greet service providers @ DXB , with a dedicated Immigration counter, but even that is useless when being eligible for Smart Gate.
I spare the space the stamp would take in my passport for countries where there are no eGates whatsoever :-)