If I was moving away from light at the same speed as light, would I see if for an indefinite time?

Say a star was shining light, and I started moving away from the star at the speed of light. Would I be able to see the burst of light that the star gave off just as I started moving for as long as I moved at that speed? Let's say that moving at the speed of light has no effect on the way time is flowing for me.