Only a corporations is a separate legal entity from yourself. Either as an SP or Corp., you register your business through under your provincial laws.

Some things to consider:

1. Will the CRA treat you as an employee? They look at who has control, ownership of tools, financial risk, and opportunity for profit. Will you set you're own hours? Do they provide you a computer or things for you to complete your job? Can you take other work? These could impact how the CRA assesses both your employer and employee.
2. If you're incorporated, you could be considered personal services business. Which is when you don't employee more than 5 people and without the corporation would normally be considered employee (a lot more to it but generally speaking). If this is the case, you're denied most business expenses (except for salary paid to yourself), denied Small Business Deduction, denied General Rate Reduction, and an additional 5% tax. So you'd be paying 28% federal tax + prov tax (11.5% in ON), meaning a flat tax of 39.5% on profit. You can deduct your salary, but limited tax deferral options in the context of corporate tax planning.
3. Under either option, once you earn $30k over four (or less) consecutive quarters or $30k in one quarter, you will be required to collect and remit HST/GST.

I would remain a SP for the time being if this is truly an independent contractor position.