Dreaming of an award means you are seeking a reward or recognition for your contributions to a project or cause. Continue to work hard, and you will soon be noticed and an award will be coming your way.
If an award has monetary value, then you are seeking compensation that you can use to buy things. This is often misguided because monetary status is temporary and fleeting as times goes by.
If an award has prestige, then you are seeking recognition to help you move along your career path. You will feel this accomplishment makes you happier doing what you do best.