HELLO,
I AM LIVING IN ALBERTA AND I AM WORKING ON A TEMPORAY WORK PERMIT WHICH WAS SPONSERED BY THE COMPANY I WORK WITH UNDER THE PROVINCIAL NOMINE PROGRAM,MY QUESTION IS CAN I START THE PROCES FOR PR MYSELF OR DO I HAVE TO DO IT THROUGH THE COMPANY I WORK WITH??

You would submit the PR application on your own (i.e., it is not done by your employer).

thank you for your response,
As i am working here how long do i have to wait before i can start the proces for PR?

There is no wait required.