That article is very similar to what I have here in Massachusetts.
State law says that you must carry health insurance. You have to supply your policy number and insurance company on the form included with the annual state income tax returns.
If your employer provides health benefits, great. You're all set.
If your employer does not provide health insurance and you can afford to pay for it, you pay for it.
If you meet certain income levels, you get premium assistance.
http://tinyurl.com/orwnxk
and
http://www.mass.gov/Eeohhs2/docs/mas..._deskguide.pdf
If you can afford insurance but do not choose to buy it, you are fined. The fine is added to your tax levy on your annual return.
If your employer can afford to offer health insurance but chooses not to offer it, they must instead pay into a state fund.
My own income is such that I qualify for Medicaid. That means I pay zero per year. I have my own doctor, what's covered is just about everything, and I never have to worry about a bill. Frankly, I love it. Just like I did in Canada, I no longer need to worry about getting sick.