That's how I take it.
In other words, if you could suddenly materialize the planet Jupiter out of nonexistence, how long would it take us here on earth fo feel a gravitational tug? If the theory is correct, we should feel the first tug of gravity at the same moment as the first light waves from the planet also reach us -- the very moment it becomes visible.
I think they mean something like this:
If you have a [really] super-massive object in a box on the planet Jupiter, constrained so it cannot move and then somehow set it vibrating [send it into orbit around Jupiter,] how long will it take for the vibration to be detected at some distance [on earth] using only the pull of its gravity to measure the motion?