Here are the steps to follow to submit an application to the PEQ:
Step 1: Choose one of the two permanent selection application forms and fill out the one that fits your situation.
Step 2: Prepare the supporting documents as listed in the application form.
Step 3: Create your profile on the Arrima platform.
Step 4: Submit your complete application package for permanent selection through Arrima.
Step 5: Pay the fees for the processing of your application.
The Ministère de l'Immigration du Québec will
process complete applications within six months. This period begins upon receipt of the complete application, fees and supporting documents.
https://www.canadavisa.com/quebec-experience-class-canadian-immigration.html