I hiked this in July, so the falls weren't really the goal. The ascent to the AT is tough, but the last mile to the peak of Mt. Everett is the real calf-buster. For those who have the time, or those who want an easier and much more rewarding view, go south on the AT to Mt. Race. It's only about 35min to the summit, and 360-degree views. You can see Mt. Greylock on a clear day.
Let me preface by saying I have been hiking for a few months and went with a more experienced hiker - this was a bust for us. Parking was easy, we started the trail fine, but it was poorly marked and we were quickly lost again and again. We kept finding ourselves following the brook which is along the trail for a bit but it diverts without clear direction. The falls were dried when we went but there were markers leading up to them, and then again, no clear marker as to which way after. We eventually summitted the actual falls (don't do this!) and then went back to the car and headed to Bash Bish for a more clearly marked adventure. The brook and moss were pretty but we spent two hours meandering about, really.
Hiked south from parking area at the end of the Mt. Everett Road to Mt. Everett peak and then on to Mt. Race peak on the Appalachian Trail. Trail mostly easy on rock slabs with a section of moderate incline on the way up and down the south side of Everett. Much enjoyed lunch on Race with 360 degree views. Excellent 4-5 mile, 4 hour hike including return.