I have been living under a rock and haven't really cared to come out to take a peak at this.
Edit: i don't feel like looking it up on my own.
What you are supposed to do? Get health insurance
How? Go to the government website (healthcare.gov or your state's healthcare site) and browse plans.
Is it going to affect paychecks? Some businesses distribute healthcare like that but that is not what this is about. For insurance not though your employer, you have to pay money like you would with car insurance. Plans seem to be around 100$, however you can get tax breaks if you fall into a certain income level (I personally got free insurance)...
PS: I'm pretty sure that the deadline has passed and if you don't have health insurance, you have to pay a small fine or something...