Labradoodles actually shed less amounts of hair than goldendoodles do.
The Labradoodle dog breed is considered to be a low fur shedding dog especially if the Labradoodle dog has a Wool or Fleece coat.
Some Labradoodles may shed less than other dogs but then again some Labradoodles may shed more as it all depends on the type of their fur coat.
If you brush the Labradoodle often enough you shouldn't have much of a problem with fur shedding onto bedding, furniture etc.
My mom's Labradoodle sheds somewhat but not as much as other dogs and she brushes the Labradoodles fur coat at least once per week to keep the fur from getting onto things.