This is completely and utterly incorrect. It's not free. Doctors and nurses are getting paid. Equipment is purchased. Drugs are prescribed. Who is paying for it? Taxpayers. Therefore it's not free. What you meant to say is that now everyone has an access to healthcare.
But when you think about it, is it truly a pinnacle of humanity if good things (treating people) are achieved by doing bad things (stealing from people by threatening them with jail time and confiscation if they refuse to pay taxes)? Is it truly a pinnacle of humanity that we treat people yet simultaneously we also kill thousands of people in wars using the same tax money? Is it really okay that I have to subsidize a treatment of a smoker who ignored health advice for a number of years? Or a fast food consumer who ate at McDonalds every day and now has diabetes? Why should I subsidize their treatment and not spend more money on my kids, for example? You have no moral right to claim I OWE these people money. You can kindly ask me to help them out, but if I refuse, you shall not be able to jail me and confiscate my property.