I've spent some time studying Arendt however this question is a little tricky. I'm not quite sure from your question if you will be reading it in its entirety but can only work with a few chapters, or if you can only read a few chapters regardless. First off if you have the time I would suggest reading some of her earlier paper's which were the basis of her eventual larger body of work. This would give good insight into her evolution of thought on the subject. If you can't I would focus on part two and three in particular chapters 5, 6, 9, 11, and 13. In particular I would focus on her thoughts of political participation in the present rather than of the past and future, also that of the individual being an autonomous thinking being. I apologize because after reading nearly all of her available work some details begin to blend together in regards to where I found them but I'll quickly glance back through to see particulars of the above chapters and get back to you. Also for what it's worth I've been told she hated that title because it gave the impression that it was the definitive source on the subject.