It's not easy to tell, but your Vet may provide some ideas. Your pup looks like a cute Lab-mix. I don't think that it is common for coarse fur to come in as soft fur, but it is not unusual for soft fur to remain soft. Both types of fur can come In longer. Fur and skin may come in longer and looser around the neck. During the next Vet check-up, ask your Vet what breed mix she thinks your pup might be?