Yup. There is a screen and then the electronic viewfinder. Several cameras have implemented these, such as the Sony A7 that I also own. There are a lot of reviews for the Fuji X-E1, including some with video for how the EVF looks if you're curious.
I actually wasn't aware you had an X-E1, but now that I am, any tips or tricks I should know? Can I map ISO to the command wheel? Any LR tricks for the files?
Based on the reviews, I was expecting the AF to be maybe a touch better than the EOS M I had - usable if I wasn't in a rush. In reality the AF is much faster than I expected and hasn't really let me down yet. Of course, I've been shooting manual focus on the a7 for nearly two years so not a great comparison for speed. The EVF isn't bad but certainly showing its age compared to the Sony. The kit lens is nicer feeling than some L lenses I've worked with.
The files are pretty fantastic though feel a touch soft when I bring them into Lightroom. The dynamic range is lovely and I like the colors, just need to get a handle on applying my current style to them.