Lisa, congratulations on your new puppy! Did you get a Golden Retreiver as previously indicated?
Our Golden, Moxie, is now 4 years old, has been boating since we bought Seaquel 4 years ago as a puppy. She has been on every sort of beach, trail, asphalt, barnacles, etc. and has not once cut her paws. Last year Moxie ran all over the oyster beds of Desolation Sound - nothing could be sharper - and she remained unscathed (unlike her aqua-sock wearing master!). There may be some slight risk as a puppy, but dog’s paws are tough. Running around “au naturel” will likely just toughen them up sooner.
Also, if your dog likes the water (and if she is a Golden she will), I can’t imagine the nuisance of booties on & off for swimming vs. beachcombing. Sometimes these are simultaneous activities. Booties may even be dangerous when the dog goes in for a swim?