The mass of the Earth is 5.972E24 kg; the moon 7.348E22 kg. Combined, they're 6.945E24 kg, or about 1.2% more massive than the Earh is today.
The change in surface gravity wouldn't be meaningful. Capillary action would still permit tall trees and chemical rockets would still reach escape velocity. Toss Mars or Venus into the Pacific, on the other hand, and a more interesting game develops.