As you approach the speed of light, your mass/energy approaches infinity.
Additionally, time moves slower the faster you travel. This is known as special relativity. There are people who have spent their entire working lives jetting around the world, and they've managed to delay (to us, not to them) their deaths by millionths of a second.
Special relativity has a very important application in GPS satellites. GPS satellites require timings that are incredibly precise; precise enough to be affected by the fact that they (travelling as they are at incredible speeds) experience a slightly different perspective of time to us. This is taken into account in their programming and design, and they have small adjustments to their internal clocks being constantly applied to keep them accurate to our perspective of time.
To half-answer your question and taking from the above, if you travel at the speed of light time will stop, so I don't think that light would go anywhere. At least from your perspective.