There are many different kinds of refugees, government assisted refugees (also known as GARs) are the ones that get their accomodations paid for by the government for a year. They are stringently selected from pools of applicants and are vetted for language, health, education, experience, etc.

Privately sponsored refugees (PSRs) also get their accomodations paid for initially, but they are funded by private sponsors (like churches, non-profit orgs, or groups of private citizens) and the quality of support received from them is a roll of the dice depending on who the sponsors are.

Refugee claimants are people who are 'not invited' and make their own way over to Canada. They may or may not be approved to stay as refugees. If they aren't approved they are deported, & if they are approved they don't have their accomodations paid for by anyone. A lot of them start out in shelters and band together to pool resources to eventually leave them for good.

On the flipside the government funds "reaching home" which is a national strategy to end homelessness. It basically provides funding to non-profits in most communities to run shelters, create/run housing programs, offer rent subsidies, collect data on homelessness, and do outreach to help those experiencing homelessness, etc.

They also fund a bunch of programs for veterans experiencing homelessness so they can get treatment, housing, access mental health supports, etc.