GDP also depends on the velocity of currency, not just on the supply. If people spend a lot of the supply each year, the GDP is high, otherwise it is low.
And if you "grow" an economy by increasing the number of monetary units, you can't create wealth, because wealth is not money. It just splits the same goods and services into more units.
Printing money benefits whoever gets to spend them first, before the consequent inflation hits (all other things being equal). It re-slices the pie by making all pieces smaller (including the ones people have saved up for, say, retirement).
Paradoxically, a good economy should drive prices *down* ( Moore's law should apply everywhere). As technology and processes improve, it should become easier to offer the old products and services, allowing for more sophisticated ones to appear.