It depends on what you mean by "a similar spirit" I suppose. One thing Hofstadter didn't like about GEB was he felt too many people didn't see his central theme

It depends on what you mean by "a similar spirit" I suppose. One thing Hofstadter didn't like about GEB was he felt too many people didn't see his central theme among the many other ideas there. His 2007 book, "I Am A Strange Loop" is a bit of an answer to this. It's mostly the same ideas in GEB about the self and strange loops, but without all the meandering and interludes. It's been a while but I remember it being less logic/mathy than GEB. I did enjoy it. But the meandering and the interludes are part of the enjoyment of GEB. So if you're looking for another book to capture that spirit of GEB, I'm drawing a blank, hopefully someone else knows one. Barely related recommendation, but I remember reading "A Brief History of Time" around that age. Very doable for a young teen if they have a passion for that sort of topic.