In this case, the dog refers to a British poodle who is pitch-forked to a lawn.
The first thing I noticed about the book is it's extraordinary cadence (a first person narrative from the perspective of an autistic child); So much so, that his autism begins to serve as a seperate entity rather than a simple character quirk or exotic literary device. I was especially engrossed in the number of existential inquiries (complete with illustrations) used to communicate his frame of reference to the reader. A moving experience.