Not really strictly "permaculture", but a lot of the farming there is pretty
sustainable and most of it is organic-ish, especially once you get into more subsistence farming communities and away from real cities. I ended up getting a pretty thorugh representation of the agriculture there since I have spent two months there over the past year and my fiancee still lives there until we get married and translates some stuff. My grasp on Bahasa is pretty loose. We ended up seeing Bali, and much of Sulawesi. Bali is interesting with its rice
irrigation network and there is a little bit of strictly
permaculture stuff there actually but mostly its for eco-tourists. You wont get a really thorough look at Indonesia by going to Bali, its really geared toward tourists, pretty much the whole island is that way. I recommend going other places if your intent is to learn. We stayed with her parents in Malili which is in Central Sulawesi and they are mostly fish and rice farmers there, but whats cool is the ones farming freshwater fish will lower the water levels in the paddies and grow a crop of rice in the same
earthworks if the soil gets really rich. Toraja has probably the most picturesque rice farming if you want to see more of that, and they do some cool stuff with rotating water buffalo amongst the terraces too. Everyplace throughout the country is pretty different so its difficult to generalize Indonesian agriculture.
Polycultures are pretty common too, mostly simple ones though like companion planting, onions with cabbage type stuff etc...
You can learn a lot by talking to people, so if that's why you are going its best to either know Bahasa Indonesia or have someone who can translate for you.