Yes. She can have purebred pups with the next cycle. There is a myth that breeding a bitch with a mutt with ruin her ability to throw purebreds in the future, but it is exactly that... a myth. It is not a wise course of action to do this though, as : 1. You lose money since you cannot sell mutts for nearly as much as purebreds, and 2: Depending on what kind of dog sires her pups, she may need an expensive c-section due to puppy size, or she may even die due to this... Also remember that a bitch can have pups from multiple sires in one litter, so be careful that the purebred doesn't get her as well. If he does, you will have puppies in there that are purebreds as well and not be able to tell them apart.
A purebred dog can still be bred to another purebred dog the next cycle. It wouldn't affect the litter but they would be different from the next litter produced. Otherwise, there are no other difference or negative health outcomes.