I can confirm that I too have the same problem (10.1.13) displaying when you attempt to access any pulldown menu, or indeed DOCK item. In my case purple blocks etc looking similar to what Chris Torrence was showing. Another clue might also be that, for me at least, this has been happening in the same way, when using VLC player (VideoLan) for some while now. No older versions seem to correct the error!
However, I have already reverted to iMovie 10.1.12 and NO problems, but as you may have already guessed, you can no longer access the iMovie library created (modified) by 10.1.13. For me though, the previous version works OK every time i use it.
It does seem to be related to graphics in some way or another. I'm still on Mojave and will be unable to update anyway! iMovie and VLC are the only two apps to cause this problem.