According to Google you can live in Canada and collect US social security benefits. You will probably have to pay taxes in both countries though, especially if you’re still working. To become a Canadian citizen you have to live there permanently and pay taxes for at least three years before you can even be considered for citizenship and even then it looks like there is a lot of other stuff you have to do

Keep in mind too that social security benefits aren’t that much. Unless you’ve already saved enough to pay off this “cabin or house” up front, then you’ll most likely be paying a mortgage, property taxes, you’ll need money for utilities and groceries, AND you’ll be paying taxes to both the US and Canada. Unless you’re already independently wealthy then you’ll probably have to get either a full time or part time job.

The only way I can see this working the way you’ve described is if you’re already of retirement age and can also collect a pension from a job you already have that could help supplement your social security benefits maybe