I'm not 100% sure about bugs. I've been there two times and have had little or no trouble with them. I may have been lucky by going far north in early summer before the bugs come, and then in the far south later when they were gone. But next to nothing compared to what I encountered in Labrador.
It's hardly and exaggeration to say that the wilderness starts one footstep outside any town in Greenland. The population is extremely small, about 60,000 maybe and most 'towns' are really just settlements. So 99.995% of Greenland is wilderness. Pretty good. There are no established hiking trails either because so few people go there and few of them get out and hump a pack. I have done hikes in Greenland where I would have been the only person to do that walk that year. And you can go anyway you want as there are no defined routes, just work it out from a map.
Anyone interested can look at my information on www.virtualtourist.com
Find my 'homepage' (I'm "ian-w") and go to my Greenland notes.