Hello,
I'm doing the same. I think that it is best to read the chapters in order and not to skip things you think you know, because they show you how the concepts are implemented in pbrt.
However, what I think you can skip on first read:
1. The chapters market as advanced content.
2. At first, for purposes of mastering techniques and easy debugging, it is best to render simple shapes like spheres and planes. On first read you can skip intersections, sampling and general handling of all the shapes you are not interested in, including meshes and bounding volume hierarchies, also texturing and fancy cameras. IMHO the most important parts to grasp on first reading are the radiometric concepts, sampling, reflectance distribution functions and Monte Carlo integration.
Then you can go back and add features.