{Godhead of Awe} on the battlefield, other creatures get +1/+1 counters, they stay 1/1 or they still get pumped up?
Cards that pump up creatures with +1/+1 counters still stay on the creature. So, a creature with 3 +1/+1 counters on it will be a 4/4 with godhead on the field. Also, cards like {Gaea's Anthem} will still pump up the creatures.
In short, {Godhead of Awe} and {Turn to frog} type effects only alter the innate power and toughness printed on the card's bottom-right corner. Addition effects that alter power and toughness still apply afterwards.