Independent characters can only be chosen as targets if they are more than 6" away from any other viable target unit or if they are the closest target at short range (up to 12"). Otherwise you can't shoot at them.
Characters shoot just like ordinary troopers, although in many cases they will have superior Ballistic Skills or exotic weaponry that sets them apart. Where this is the case either roll for them separately or use different coloured dice to differentiate their shooting.