You should first send your application materials to CIC,
CIC would send them to Quebec;
if the you couple are qualified, Quebec would send you CSQ;
then CIC continues to process it and CIC would send you a final decision.
The duration depends, in general it would take 1 or 1 and an half year.
So it may be normal that there is no your account in database of CIC. Anyway, you can call CIC to confirm that.