Basically, yes: The speed of both gravity waves and light waves is limited by c, the speed of light in vacuum.
But actually, no, because the light is not in a vacuum - it's ricocheting out from the center of a star, and bouncing through the interstellar medium (which is incredibly sparse; very nearly a vacuum: but there's an awful lot of it between these events and us).
This is also the mechanism behind neutrino detectors. When a star's core goes supernova, it releases a cataclysm of neutrinos which pass through the upper layers of the star almost unaffected. The light and radio waves are still bouncing around trying to get to the surface of the star, and the blast wave is still physically propagating much slower than the speed of light, but the neutrinos are long gone. That gives scientists a short time period to point their telescopes in the right direction!
Yes and this is different in as much as LIGO / gravitational waves gave us the 'tip off' that the light was incoming, we fortunately had a satellite that captured that.
It's a whole other information stream we are just learning how to use, basically with using gravitational waves we are at the stage Galileo was at with light. Very early, very low res but enough to give us massive new discoveries.
But actually, no, because the light is not in a vacuum - it's ricocheting out from the center of a star, and bouncing through the interstellar medium (which is incredibly sparse; very nearly a vacuum: but there's an awful lot of it between these events and us).
This is also the mechanism behind neutrino detectors. When a star's core goes supernova, it releases a cataclysm of neutrinos which pass through the upper layers of the star almost unaffected. The light and radio waves are still bouncing around trying to get to the surface of the star, and the blast wave is still physically propagating much slower than the speed of light, but the neutrinos are long gone. That gives scientists a short time period to point their telescopes in the right direction!
Further reading:
https://physics.stackexchange.com/questions/235450/do-gravit...
https://news.ycombinator.com/item?id=6253263