This book was written with the philosophical novice in mind, and it succeeds emphatically at introducing the basic philosophical problems to the beginner. The topics covered are: The Existence of God, morality and ethics, politics, epistemology (the theory of knowledge - i.e. "what can we know?"), the philosophy of science, the philosophy of the mind, and aesthetics (art and beauty).
The book is written in a VERY accessible style, so even if you have never encountered philosophy or have previously been put off by dense and hard-to-understand texts, with this book you won't have that problem.
For each of the topics covered Nigel Warburton discusses how it has been proposed, and what the counter-arguments are, and encourages you to think for yourself along the way. At the end of each section there are suggested reading lists if you want to pursue the matter with your own further reading.
The one reservation I have is that obviously, being a philosopher, the author has some preferences for particular arguments as opposed to others. There is a slight hint in places that this is so, and so STRICTLY speaking not all is neutral. But I don't think this undermines the book as a beginner's text AT ALL. I would highly recommend it.