Organic coffee, including organic Kona is grown according to the organic farming standards and techniques, so you can be sure to buy an environmentally responsible and healthy product. It is produced without the use of any artificial fertilizers, pesticides or herbicides, the only disadvantage is the higher price.
Organic plantations have a smaller crop than regular ones, so competing with the prices of huge agro-industrial plantations is pretty much impossible to them. Many plantations, especially from southern america, have gone back to regular production due to the very fierce competition.
Do not mix up organic with Fair Trade. Coffee producers that have plamtations in mostly third world countries and pay local farmers a fair price often use this label. It refers to or at least should refer to socially responsible products. There is also some criticism about this label and it’s usage for advertising as described on Wikipedia.