How do I register a lobby group in Canada?

Hi! Thanks for the question.

Lobby groups register as official lobbyists at the Registrar for the
Lobbyists according to the Lobbyists Registration Act.

Registrar for the Lobbyists Registration Act
Industry Canada
22nd Floor
66 Slater Street
Ottawa, Ontario
K1A 0C9
Telephone: (613) 957-2760 / (613) 957-2762
Fax: (613) 957-3078
E-mail: lobbyists.reg@ic.gc.ca
Web site: http://strategis.gc.ca/lobbyist

You could also register your lobby group online.

Lobbyists Registration System
http://strategis.ic.gc.ca/cgi-bin/sc_mrksv/lobbyist/bin/lrs.e/lrsmain.phtml?

The following types of lobbyists are allowed to be registered:

1. “Consultant Lobbyists are individuals who, for pay, lobby on behalf
of a client. They may include government relations consultants,
lawyers, accountants or other professional advisors who provide
lobbying services for their clients.”

2. “In-House Lobbyists (Corporate) are employees of corporations that
carry on commercial activities for financial gain and who lobby as a
significant part of their duties.”

3. “In-House Lobbyists (Organizations) are non-profit organizations
where the accumulated activity of all employees would constitute a
significant part of the duties of one employee.”

The following information was gathered from this link:

Canada Business Service Centers
http://www.cbsc.org/english/search/display.cfm?code=1285&coll=FE_FEDSBIS_E

It would also be helpful to read the “Lobbyists Registration Act”.
http://laws.justice.gc.ca/en/L-12.4/ 

Search terms used: 
Lobbyists Registration Act Canada

I hope these links would help you in your research. Before rating this
answer, please ask for a clarification if you have a question or if
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Regards,
Easterangel-ga

Thanks easterangel, you did a great job!