Is it true that going to the doctor for the first visit and the doctor tells you that the insurance will not pay for the blood works, lab result?

Absolutely wrong: Sorry that's wrong. If you're going for the first time and you have either a new illness like bladder infection, a known history like diabetes, or you're going for your annual physical, then labs related to one of those conditions will be paid for by insurance according to your plan's rules. If labs are ordered that aren't directly related to a known or suspected condition, then it won't.

Check your insurance: I would imagine that it all depends on what type of insurance you have. Most policies cover lab work. For some people they have a very high deductible before the lab work is covered so check your policy.

Can be: Many insurances cover some basic blood work, but it vaeies greatly. Usually checking cholesterol every 5 years and looking for diabetes every 2 years is covered. Other common test include a check for anemia, vitamin d levels, and thyroid.