I honestly found I Am A Strange Loop to be much less enjoyable than his previous book GEB. I would say that it is much more accessible to readers not willing to wade through heaps of number theory and tangents about recursion in various different settings.
The analogies in Loop are less lively and more tedious than those in GEB, and at points the book reads like an old man complaining about various others' views. 
I will say that the central thesis of the book is fascinating. The idea that I am me because of the configuration of loops and symbols in my brain, and that I contain recursive low fidelity copies of everyone I have ever met is truly thought provoking.