Will there be any white discharge during pregnancy? If so how'll it be? Will it be heavy or light, thick or clear?

Every woman is different. As long as it is not yellow/green or has an odor there should be little to worry about.

Having some white discharge can be normal in early pregnancy... some women will notice that it is a bit thicker and more obvious than what they may be used to.
As J_9 said, as long as it is not yellow or green it is likely normal.