If you're travelling at just under the speed of light, then light travels past you like a slow moving vehicle. You won't notice a change however, because almost all light sources are constant, so it'll still be a solid beam of light. You would see head or the tail the beam of light moving slowly if it were switched on or off respectively (like with a flashlight).
Again, I may be misinterpreting this, but doesn't the Speed of Light Postulate state that the speed of light in a vaccum has the same value in all inertial reference frames, meaning that light would travel 3*10^8 m/s regardless of how fast you were moving.
Before you reach the speed of light in vacuum, matter becomes energy. At the speed of light in vacuum, the kinetic energy requirements for any mass are infinite. Any velocity above the exact* speed of light in vacuum (299,792,458 m/s) results in an imaginary kinetic energy.
"Stephen Wolfram is the creator of Mathematica and is widely regarded as the most important innovator in scientific and technical computing today." - Stephen Wolfram