First of all, this book is not the place to start if you're just getting into the field. It's an expansion on and updating of Chalmers' first book, 1996's The Conscious Mind, which largely consisted of his PhD dissertation after only four years of studying philosophy, and was somewhat hastily rushed into publication after he accidentally attained celebrity for elucidating the difference between the "hard" and "easy" problems in consciousness at a conference in 1994. The Character Of Consciousness is a more definitive statement of his views as a mature philosopher, a compilation and updating of separate pieces he has published since the first book, often times delving much deeper into the arguments and answering specific criticisms.
So, while The Character Of Consciousness may make gains in clarity, breadth, organization, and soundness of argument, Chalmers has lost some of the fervor that made parts of the first book such a thrill to read, and much of his connection to the layman. The ideas were new to him back then, and he was excitedly explaining them to himself as much as he was hoping to share them. He hasn't altered his views radically since that time, and The Character Of Consciousness loses some energy in its careful planning and execution, and due to the disparate origins of many of the sections.
But if you are sufficiently interested in philosophy of mind that you are prepared to read several books to get a deep understanding of a variety of perspectives and arguments, then I'd say Chalmers should certainly be one of them, as he is still a (if not the) leading non-materialist, and his earlier book (The Conscious Mind) rather than this one would be the one to start with. That said, he does provide a reading guide in the introduction and as you go along in both books, helpfully letting you know which parts you should read and which parts you can skip, depending on your interest and previous exposure. (The most interesting addition in the new book for the newcomer would probably be his analysis of The Matrix.)
If it helps, I can give you a report of my own experiences of the two: Consciousness Explained was the first real book I read in the field, and following his instructions to skip certain parts, I had a blast reading it. In reading The Character Of Consciousness and trying to imagine what a first-time reader would think of it, I wasn't so sure the text would compel one along as strongly.
The 4 stars here isn't a criticism. I'd just like to fight against grade inflation and reserve 5 stars for things that blow my mind beyond what I could have reasonably expected. And it's also not a reflection of how much I agree with Chalmers' thesis; I am much more on Chalmers and the non-materialists side in this, for reasons similar to the logic Chalmers gives, but I also think Chalmers' chief adversary, the materialist Daniel Dennett, argues pretty persuasively that all us non-materialists don't really understand what he is saying, and Chalmers doesn't succeed in ridding me of that nagging feeling here. Chalmers focuses more on logical argumentation based on introspection to support his claims about what we can and cannot believe, and I find the arguments can get esoteric and tenuous, almost to the point of being word games rather than anything of import. In contrast, Dennett is more scientific, which seems more respectable, even if I tend to more often agree with Chalmers's introspection. So I'd give Dennett's Consciousness Explained 4 stars too, even though I remained cautiously confident of non-materialism after reading it.
Finally, I'll note that the field of consciousness studies is so fundamentally divided between materialists and non-materialists that any single book is only really good as an introduction to one view or the other, and you can't trust a writer's characterization of an opponent's view in this field. My best recommendation for a general introduction would be Susan Blackmore's 2006 book of interviews with leading figures in the field, Conversations On Consciousness, which gives most of the major players a brief space to explain and defend their views in a casual verbal style. Read the interview with Chalmers and the interview with Dennett, and then as many of the others as sustain your interest.
The Conscious Mind: In Search of a Fundamental Theory (Philosophy of Mind Series)
Conversations on Consciousness: What the Best Minds Think about the Brain, Free Will, and What It Means to Be Human
Consciousness Explained