You can't really "learn" common sense, though it is the single greatest commodity required for the operation of an aircraft.. So study your FOM and your AFM.
During the study of your manuals, you will think of scenarios that are not really covered by them, or you will find rules that are somewhat ambiguous or at least open to discussion. A great way to start a constructive relationship with the captain doing your assessment is to engage him in an open discussion about those scenarios and rules, and pick his brains about them..
Above all, as stated above, be yourself and DO NOT re-invent the wheel...