The easiest way to look at your AKC paperwork means to the average owner is to say first off it is proof of ownership. Your puppy will be registered in your name, he/she is yours.
If I were you I might also look into microchiping which ID's your dog is in fact the dog you say it is.
The papers also identify your dog as a purebred poodle.
Other than that they don't mean much else unless you're planning on breeding or competing.. Some breeders, and maybe even others on this forum may feel differently. To be honest though, you can get purebred registered dogs from good breeder or from back yard breeders so they don't garentee the quailty or future health of you new baby. Thus, in my humble opinion they don't
Now for breeding the paperwork means something else as well, it is a form of record keeping, as are pedigree's.