They come in as permanent residents on arrival, and they receive support for a number of months. Government-assisted refugees receive support for one year—you're right—but they receive the other kinds of settlement services for 39 months, just over three years. Not everything is for one year.
If they don't have a job or other means of support after one year, they are like other Canadians in that situation. The official support for them in terms of income ends after one year, and after that they are in a situation like other Canadian citizens and permanent residents.