depends on the service. if you are insured (so you have a job or you're a entrepreneur and pay the social security contribution), you're entitled to many services.
gp is free, state owned hospitals offer many services. for example i had a gallbladder removal this summer, it was completely free, from the first examination to the last stitch. but the waiting lists can be extremely long, and the types of free service are limited. for example most of dental care is paid, only tooth removal is free. cosmetic surgeries are paid. melanoma removal is free. most kinds of psychiatric or mental care are paid. when you brake a bone the care is free. implants like a hip prosthesis which is pretty common for elderly is free, but the waiting list is like 2.5 years. (a friend called last week to ask for advice, the grandma is waiting for her implant, she's having extreme pain, waiting list is long, private health care is expensive for them. state owned hospital won't do the surgery just because of the pain, but if she broke her hip, she'd be operated.) etc