how long it will take for Catalyst monitor finishing its monitoring cycle?

It takes at least 2 driving cycles to reset the electronic control unit (ECU). There are specific parameters that define a driving cycle, such as sitting for X hours and having the coolant temp cool below Y degrees, then driving for Z miles with the coolant temp getting above A degrees, and the speed getting above C miles per hour for D minutes. The trick is letting the car sit long enough (overnight is usually long enough) and then driving it far enough and then repeating the pattern. A week is usually, but not always long enough.