jmbfrance just had this experience transfering from T3 to T1. T2 to T1 is even shorter, so unless your DL flight is extremely late youŽll be ok. Customs and immigration are done at GRU so you need to recheck your bags with Gol for the NAT leg.
NAT has a new airport now NW of the city in Sao Goncalo do Amarante where youŽll fly to. ItŽs about 30 minutes out of town.
If you have the time I do recommend the Old Five bar and restaurant steps from Morro do Careca in Ponta Negra beach.
https://www.facebook.com/oldfive.restaurante
If you need more info on things to do in NAT just PM me.