Yes, you can have Quadro and GeForce in the same system and install the drivers for Quadro and Forceware. It depends on how you configure the system, if you need Quadro as you main card for daily work, it has to be primary and the monitor must hook to it. You also can hook monitor to Geforce but only as extended Desktop.
For gaming you have to select the Geforce as primary and monitors plug to it. There's no options in NV CP to switch between those cards. The alternative is in Device Manager under Display Adapters to disable one of them if you need the other one as primary.