Mind's I is a much better book, GEB is one of those books that everyone has that no one has read. Read the Cliff's Notes for GEB and spend your time on Mind's I.
I haven't read The Mind's I, but I rather enjoyed GEB when I read it in college. I didn't realize it was considered a book "no one actually reads." My sense has been quite the opposite!
Back in the day, lots of people did read GEB, although we often missed the point. Apparently (as he wrote in an introduction in a later edition) the point of the book was to encourage people to study AI (at a time when it wasn't popular). While I can see this now, at the time I was more intrigued by his chapter on molecular biology and went into that instead.
https://en.wikipedia.org/wiki/The_Mind%27s_I