Serbinski Accounting Firms

My company wants me to fill out a W9. Does that make sense?

Do I need to give any form to my company?
Also, if I am my own employer what would I be filling out this coming tax season?

I was working in NJ and I am a dual US and Canadian citizen.
To clarify,when I was working in the US I worked in the office, now that I am in Toronto I work remotely. The company took me off the w2 and said I am my own independent worker now but they are continuing my salary.

I was working remotely for a company in the US and moved to Toronto, Canada. I would consider myself a Canadian employee working independently. They are still paying my salary however they took me off the W2. From what I understand, if I would be living in the States I would be filling out the W9 ...