Definitely get a copy of the police report. ALL accidents you've been involved in show on your record, whether you are at fault or not. Problem is that they just show up as you having been involved in an accident - they don't specify who was at fault.
I discovered this when I first applied to lease on with my carrier. They told me my record showed an accident about 10 months earlier. I was positive I hadn't had any accident, but of course I was thinking only an "at fault" accident would show up. Wracked my brain for about a week before I finally realized what it was. I was definitely NOT at fault! Was in the right hand land of a 4 lane road, driving a BIG white bus, when a drunk suddenly decided to make a right turn from the left lane...directly into the side of the bus. (How even a drunk couldn't see a big white bus, I'll never know!) Wouldn't have been any question as to fault in any case, but funniest thing was that this happened directly in front of a state trooper who was sitting across the street in a fast food joint parking lot, watching for - you guessed it! - drunk drivers!
As I said, your record won't indicate who was at fault - just that you were involved. If you were to sign on with another carrier, you would need to produce the report to prove you were not at fault. Since the fault clearly was not yours, it won't affect you in any way, but you would still need that report as "proof". It is probably easier to get the report now and hang onto it than to try to track down where to get a copy a few years down the road. (Having that copy might help you remember the accident itself a lot more easily than I was able to remember, too.)