There is a Priority Line for Immigration just as entering the processing area. It is intended for Vip and impaired people. However, having a short connection when processing is crowded on the other side can, usually, speed movement. Be Very very polite, if you are very old , disabled or traveling with infants i is routine. Be very polite, GIG, like everywhere in Brazil, is very kind with people who are polite too. First, always, greet the processor then make your request.

Those rules work almost everywhere, for that matter.

Baggage arrival is always an issue but the routine normally send transfer bags first at GIG, so long as the airline has loaded them properly.