No, In laptops it's way different. In desktop, the graphics cards has their own output videoports, so the motherboard's is not usable by the gpu. In laptops, although the processor has an integrated graphic solution (Intel HD3000), it is disabled if the laptop has a dedicated GPU, because laptops' gpus use the motherboard's video ports.
In resume, yes, you will be using exclusively your nvidia's gpu at any screen or video port from your laptop.
For your second question: no mather which output is, if is video output, it will be useable