This book is a very high-level overview of the history and current practice of Buddhism in the world. It's a very broad topic, so the book doesn't get very in-depth into any particular topic. There's a /very/ brief introduction to Buddhist philosophy at the beginning -- a description of the life of the Buddha, and some of the key concepts in Buddhist thought. The idea of Karma gets about half a page, which gives you an idea how much detail there is.
The largest section of the book is an overview of the history of Buddhism, organized by country. It highlights the appearance of different schools of Buddhism, how they interacted with governments, and how they were influenced and changed by existing culture in those countries. When Buddhism enters a new culture, it has always changed a bit, picking up some of the beliefs and customs of the new culture, while maintaining its core teachings.
The last section of the book describes modern Buddhist customs around the world. It talks about how individual Buddhists practice their religion, which is not the scholarly monasticism and search for enlightenment that people in the west often associate with Buddhism. This section is also organized by country, finishing with "Buddhism in the West", which itself concludes with a description of Buddhism in America.
"Introducing the Buddhist Experience" is a useful introduction to the history of Buddhism in the world, and how it's practiced today. I have two criticisms to highlight -- First, it doesn't get in-depth in any particular subject. At times, the histories degenerate into lists of names, which isn't very useful for the casual student. The broad-brush strokes also surely leave out a lot, which leads to the second criticism -- the descriptions of history and practice are intentionally skewed toward the positive. One can be left with the impression that, apart from a few isolated incidents among rank-and-file monks, Buddhists are all very virtuous people, and Buddhism is a very positive influence on cultures. My personal bias is to believe that yes, Buddhism is very positive, but I'm sure it's not quite as perfect as what this text would let one believe.
Overall -- this is a helpful high-level primer to the history of Buddhism, which would give you a base of vocabulary and rough historical outline for further studies. Don't expect anything in-depth, and be aware that the viewpoint is a bit skewed.