The same way every other dog breed does and the same way that Bulldogs have since they became a breed in the Middle Ages. That is, most can whelp by contractions of the uterus moving a puppy down the birth canal until it emerges from the vulva. read more
I agree with PJ De Best. Because of the size of the bulldog puppies' heads, it is safer both for the puppies and the mother to have a caesarian birth. read more
English bulldogs have trouble with natural whelping because of the disproportionate size of the fetuses' heads and the mother's pelvis. Only attempt to allow a bulldog to give birth naturally if your vet has X-rayed the expectant dog's pelvis and agrees that a natural birth is feasible. read more