This is where things get interested, as we have conflicting reports about both important parts of the display.
Most rumors claim the new Galaxy Note 7 will have a 5.8-inch Quad-HD AMOLED display, so slightly bigger than the older Note 4 and 5. However, @evleaks recently stated it was 5.7-inches, and will remain the same size. That shouldn't be an issue, as 5.7-inches is fine for many, and most don't need anything bigger.
However, the screen could be curved like the Galaxy S7 Edge. Most leaks have only pointed to a curved model, but a few reports have suggested both will be available to buyers. For now we'll have to wait for more leaks, and see come early August when the phone is unveiled.
Either way it will be 5.7 or 5.8-inches, and have an even better Quad-HD 2560 x 1440 HD display with Samsung's famous AMOLED panels. Users won't be disappointed, unless you really really don't want a curved screen.