Sorry, I left out an important detail :x Well, I want to know if it takes a year from the perspective of the accelerating observer. I know he isn't in an inertial reference frame anymore. I have a fairly decent understanding of special relativity, but very little understanding of general...
You are one light year away from Earth, at rest in Earth's frame of reference. A flash of light is emitted from Earth. You begin to accelerate toward Earth. Does it still take exactly one year for the light to reach you from the time it was emitted?