As far as I know, there are two places that you can view mountain gorillas, a national park in northern Rwanda and the Bwindi Impenetrable Forest in southwest Uganda. I made a mad, mad dash from the foot of Mount Kilimanjaro to go check these magnificent beasts out there, while on my round-the-world trip.
It is an expensive endeavor. When I did it, the permit fee was $500 U.S. A friend told me that it has gone up to $750 this year, but I can´t verify that. It is worth it.
One quick side note. One of my concerns, especially after seeing how things “work” in Africa was that the money would simply go to graft, but I was amazingly impressed and relieved at how professional this whole experience was. There are very limited permits sold per day (my mad dash was as a result of hearing that a couple permits might be open for one day). The time with the gorillas is limited. You go in with multiple park rangers — and they seemed very, very well trained and informed.
My friend Cailin wrote a great post about seeing the gorillas in Rwanda as well… go check it out!
All in all, I couldn’t recommend a wildlife experience much higher than this one. When you see their eyes or their hands or their feet, you are so clearly looking at a close relative. It is eerie.