The phrase "to raise a pup" means taking care of a young dog until it grows up.
Sentences with «to raise a pup»
Most people understand the bitch's role in raising her pups, but what is the stud dog's family role? (dogs.lovetoknow.com)
This will benefit every aspect of raising a pup. (ultimatepuppy.com)
I'm sure you've heard the awful stories about raising a pup and all the chewing that goes on from the minute you bring her home until when? (rosadoodle.com)