My mother has a lab, and they are notorious for shedding. Even though they are short-haired, they blow their coat twice a year. Labradors have surprisingly thick coats, when you just look at them they don't seem so dense. But you must remember what this breed was developed for: to retrieve through bush and water. This requires a warm, thick coat to insulate and protect.
Okay, for the shedding. Giving your pooch a bath will help short term because the immediately shedding hair will be washed off. But in a day or two more hair will start dropping. Brushing really helps. The more you get on the brush, the less you get in your house and on you. Brush, brush, brush! Really you have to suck it up and wait it out. If your pup is black, plan on wearing black clothes for a while
and throw a cover sheet over any furniture she is allowed on. I agree with the other reply: if this continues past May, maybe June, you might want to talk to your vet and check the catalogs for shedding-control supplements, but I am not sure how effective they are as I have never used them. So brush her a lot, have patience, and good luck.