Yes, bulldogs shed just like other breeds. Most dog hair comes from its undercoat which is different than the overcoat. That being said, because of their short-muzzled flat face, longer-haired breeds have more shedding issues than other breeds.
The amount of shedding will vary due to how often the owner cuts or trims their coats. Other factors can affect how much a dog sheds including hormones and whether it has allergies or skin problems.
Currently, there are many methods such as brushing and grooming designed for long-haired pets (e.g., collies), but these techniques don’t always work when applied to short-haired dogs…