My (potentially unpopular) feeling about GEB is that it's a book that explores some very interesting areas but that doesn't say all that much of interest itself. Reading it I felt like different sections could be put into two categories: (good and somewhat romantic) exposition about something interesting, and observations that seem profound until you think about them and realize that they're stupid (e.g. Hofstadter spends some time discussing how a Bach piece that ends up one semitone higher than it starts [and can therefore be repeated to form an infinite ascension] embodies self-referentiality and that this is the critical component of self-awareness, and that therefore the two are connected; of course, this is all just more-or-less meaningless fluff).

So I'd say skip it.

To give an alternate opinion. You should read through the first dialogue and the following chapter, then decide for yourself. Maybe skip ahead a bit. I read half of it sitting in a library when I didn't really have time to read it, it presented ideas I hadn't thought before. I hadn't heard of figure and ground, at least not generalized, so I enjoyed noticing that my conversations jumped around the subject rather than being on the subject. I also hadn't heard about recursion before, so...

If the writing engages you then you and presents interesting ideas, to you, in a non-obvious way, then it is worth reading.

"This sentence is a lie"

That pretty much sums it up.