Pure Hypercholesterolemia

I recently received a statement from my doctor after a routine visit and routine blood work with a diagnosis of Pure Hypercholesterolemia Code 272.0. My total cholesterol count is 180. My HDL is 40. My LDL is 110. My triglycerides are 111. I am a 53 year old female and I am overweight at 184lbs. I have never been diagnosed with this condition and have never had high cholesterol or been on meds for it.
I called the Dr's office and asked if there was some mistake and was told the diagnosis was based on the LDL blood results. Based on what I have found on the internet, I still think this is incorrect and am concerned that it will affect my risk considerations for health insurers and possibly my children as well since it seems this diagnosis is genetic. My children are grown 28, 26, 24, 22 and none of them have been diagnosed with cholesterol issues of any kind. Should I have additional blood work done to confirm/refute this diagnosis or get a 2nd opinion. I think it is interesting that with the diagnosis the Dr. came up with, he doesn't feel I need meds for such a potentially serious health condition