Quick Draw's bloodhound, Snuffles, has a role in this cartoon and has an addiction to the dog biscuits his master gives him. Quick Draw offers Snuffles the box as a reward and I thought the design of the package looked awfully familiar.
I had recently picked up a copy of Ad Boy: Vintage Advertising with Character and flipped through the pages. There was the package of T-Bone Form Dog Biscuits from 1962.
I suppose that Gro-Pup was a sponsor of the early Hanna-Barbera series?
For more classic cartoons on DVD, pick up a copy of Saturday Morning Cartoons: 1960's, available from Warner Home Video. If you like retro artwork and vintage advertising, you should also pick up a copy of Ad Boy: Vintage Advertising with Character, available from Ten Speed Press.