Free education is only available through high school (Grade 12) and the quality of that education varies quite a lot. Health care is not free, it's tax-payer funded. BC and Ontario also charge health care premiums on top of the tax money collected.
You can work as a caregiver if that's what you want. You still require a labour market opinion that the caregiver job cannot be filled by anyone already living in Canada, a firm written job offer, education equivalent to the Canadian Grade 12, fluency in English or French and a work permit. Under this visa you have to live with the family that hires you. These jobs typically are low-paying, since they're providing you with a roof over your head and food. They're also open to exploitation of the worker. Pay in Ontario is currently $10.77 an hour, and no overtime accrues until you've worked 44 hours in one week. Room and board costs are deducted from this amount, to a maximum of $85.25 a week. You will also have deductions for income tax, Canada Pension Plan, Employment Insurance and other standard deductions. You can only work for a single employer, meaning that you're essentially indentured to the family that employs you. And don't forget that you cannot perform any nursing skills that would be beyond the scope of an unregulated caregiver. TFWP Live-in Caregiver Program
As I say, you can do it. However, it's not a very good way of getting your foot in the door so that you can then apply to be considered under the skilled worker category. All the time that you're working as a caregiver puts you that much further from your last experience as an RN. That puts you at a disadvantage when it's time to submit your application for registration because the College of Nurses is going to want evidence of recent practice to assess competence against. It also will put you at a disadvantage when applying for employment as an RN because your skills will be rusty and your knowledge base will have stagnated. Others who have pursued this route have had a lot of difficulty and some were forced to abandon their plans to work as nurses.