Asking this question about a constant that is not dimensionless is always problematic, because you can't just change that one constant and keep everything else the same. This usually comes up when people ask what if the speed of light were different; the actual physically meaningful question is what if the fine structure constant were different, since the latter is the dimensionless constant that is relevant for electromagnetism.
In the case of gravity, we don't know of any dimensionless constant that is purely associated with it, which suggests that in fact there is no way to just change the strength of gravity and keep everything else the same. Which means your question would be unanswerable as it stands; we would have to figure out what else would have to change if the gravitational constant changed, and we don't have a good way of answering that question either. We probably will not have a good understanding of this unless and until we develop a theory of quantum gravity.