Since you can never accelerate to the speed of light, you can't answer this question directly. I'd say that the energy of the light reflected from the object, would be less and less as it accelerated. The result is that the light will become more and more red shifted and you'd need equipment sensitive enough to detect the light to see it. (I say equipment because your eye would stop seeing the object at some point in the red shift) The object would simply fade from view and become infinitely difficult to detect as it approached lightspeed.