Sankum,
"Organic" is a way of growing, not what is grown. An organic tomato, for instance, is just a tomato that was grown using organic methods.
Essentially, "organic" means you take care of the soil, and do not use synthetic or man-made fertilizers, insecticides, etc. True organic growers see themselves as stewards of the earth.
However, once organic became a buzzword, the agri-giants jumped on the bandwagon. Using essentially the same methods as they do with their more conventional crops (i.e., mono-culture, hybrid varieties, etc.) there is really not much difference between their organic and their conventional---except that they use the organic label as a way of unjustifiably raising prices.
A few years back the feds got involved, and now, in order to be certified as an organic grower you have to meet certain standards. Unfortunately, the protocols were, effectively, written by the agri-giants, and are set up to discourage the small, diverse, true organic grower.
Sorry to be so long-winded with this. But if you're buying organics in a supermarket you're merely spending extra money for no real benefit.
And, to answer your actual question, in terms of end usage you use organic produce exactly the same way as you do conventional.