rolling is usually done after harrowing & over-seeding which is another subject but generally on its own or with chain harrowing its done to push down any stones or mole hills etc, firm up the ground a little and gently crush the crowns of the grass which encourages the grass to spread and grow more rapidly, Cambridge rollers are just as good on grass as ballast rollers which tend to leave a panning effect, you can fill ballast rollers with water to add more weight if the ground is hard, and if you got stony ground a good time to get off the tractor when you spot it and pick up the big stone and put it on a tray fixed to the roller. we used to do nice stripes up and down but that tends to compact the ends of the fields where you turn so now we go round and round the edges in a circle, doesn't look as pretty but more sensible apparently