If you have been living with your girlfriend for 12 months or more or if you get married, she can sponsor you. The processing times can be seen here: http://www.cic.gc.ca/english/information/times/perm-fc.asp and so that is 74 days plus however many months it takes in your homeland.
If you are applying yourself under Quebec skilled worker, you can see the processing times here: http://www.cic.gc.ca/english/information/times/perm/skilled-que.asp