Government hospitals are not free at least in the United States.
Government hospitals in the United States are available but the cost of the care at the Government hospitals is often covered by health insurance or paid for out of the patients pocket.
The United States has federal, state and local government owned hospitals, although they are not really free.
The United States does not have a universal healthcare system in which healthcare is provided free to all it's citizens.
Government hospitals are also funded by taxpayers and are often designed to serve certain people like veterans and people in need of specialized care.
And while some government hospitals might offer you discounted or free care in certain situations and to certain people, most people are actually expected to pay for their own medical care, either through insurance or paid out of pocket.
Also federal law requires hospitals that get money from Medicare to stabilize any patient which arrives at their emergency room, regardless of any insurance status that patient may have.
Some hospitals including government hospitals also offer and provide charity care or reduced care for people who cannot afford full payment.
And government programs such as medicare and medicaid can also help to cover the cost of healthcare for people who are eligible.
Some examples of government hospitals are federal hospitals that are operated by the Department of Veterans Affairs, state run psychiatric hospitals and county run hospitals.
If you can't afford a hospital and require emergency care the hospital must treat you.
And if you're poor, someone from social services can also help you apply for Medicaid, which can also help with your post-treatment care.
If you have financial resources, many hospitals will also work out a payment plan for you which typically includes some kind of cash discounts.