It's utterly unlike TAOCP. One is a comprehensive algorithms reference full of (hard) technical problems. The other is an extended personal essay. (Neither one is worth "bragging" about reading in my opinion.)
"Reading" all of TAOCP would take literally years of intense effort even if you set aside all other activity. There are a lot of great problems inside, and plenty of dry humor, and I would recommend people try to at least skim sections of TAOCP which seem interesting or relevant to their work, but very few people are going to even nominally work through the whole thing, and the people who might are professional scholars of the topic.
Reading GEB can be done leisurely over the course of a few days or maybe weeks, depending on how much time someone spends reading every day. It's not quite as easy a read as a pulp novel or comic book, but it also doesn't take any inordinate amount of work to make basic sense of, or require any special skills or background understanding to start on. It's a fun book to hand to a ~13–16 year old.