Do Golden Retrievers have a lot of health problems?

Yes, unfortunatley. Most large dogs, especially purebreds, are quite prone to hip dysplasia.
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The more popular the breed yes because there are more badly breed ones
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Yes most purebreds have health problems, you might want to get a golden mix and it will probably be more healthy if you are concerned about that.
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Yes they can be prone to hip dysplasia. Make sure you buy from a reputeable breeder who does health checks and hip certifications on all of their breeding stock. It'd be a good sign if she has a couple of senior citizen dogs that still have good hips and other signs of good health. Goldens are really popular, so a prime target for improper breeding for profit.
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its a yes or no it madders if u feed it good give it water and take it for walks and groom it is a lot its lot of work
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hope it helps

The median life span for Golden Retrievers is approximately 10 to 12 years. While the breed is recognized for its vitality, many retrievers are susceptible to specific ailments. A responsible breeder will proactively minimize the risk of illness by having the health of dogs in breeding pairs professionally assessed and selected on the basis of complementary traits.

Breeding Golden Retrievers can be profitable for puppy mills and backyard breeders. As a result of careless breeding for profit, Goldens are prone to genetic disorders and other diseases. Hip dysplasia is very common in the breed; when buying a puppy in the US the parents should be examined by the OFA or by PennHIP for hip disease.

Common diseases
Cancer, the most common being hemangiosarcoma, followed by lymphosarcoma, mast cell tumor, and osteosarcoma. Cancer was the cause of death for 61.8% of Goldens according to a 1998 health study conducted by the Golden Retriever Club of America, making it the breed's biggest killer.
Hip and elbow dysplasia.
Eye diseases, including cataracts (the most common eye disease in Goldens), progressive retinal atrophy, glaucoma, distichiasis,entropion, corneal dystrophy and retinal dysplasia
Heart , especially subvalvular aortic stenosis and cardiomyopathy are major problems in this breed.
Joint diseases, including patella luxation, osteochondritis, panosteitis, and cruciate ligament rupture
Skin diseases, with allergies (often leading to acute moist dermatitis or "hot spots"), particularly flea allergies, being most common.Others include seborrhea, sebaceous adenitis, and lick granuloma.
Haemophilia.

Autoimmune hemolytic anemia
Bloat
Cushing's Disease
Diabetes
Ear Infections
Epilepsy
Hypothyroidism
Laryngeal paralysis
Liver shunt
Megaesophagus
Myasthenia gravis
von Willebrand Disease
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Mine is 18yo and just recently developed terminal cancer. Aside from that she's never had health issues. Goldens are a very healthy and hardy breed. If you were to encounter health problems, they'd most likely occur in the senior years.

There's treatment and medication for hip dysplasia, so it's not like your dog would be SOL if they encountered this problem.
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They are not one of the breeds with tons of health issues. They are prone to hip dysplasia and eye diseases. Here is some more Golden Retriever information: http://www.purebredpups.org/Breed_Info/72/Golden_Retriever.aspx

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http://www.purebredpups.org