The book was okay if you have no experience with other cultures. (That is, if you don't know that people from other countries have different cultures, which affects their behaviors and, therefore, also have different expectations of how you behave.)
If you do have some experience with other cultures, then the book will read like a lot of buzz words thrown together. Cultural intelligence (CQ) is essentially your capacity for social learning in the context of engaging with individuals from different cultures. Social learning is that you pay attention to the social setting around you, retain knowledge from that situation, reproduce the behavior you learned from that situation, and you get reinforcement about how that behavior was either good or bad in similar social settings.
For example, in the West we shake people's hands. You probably learned that from being introduced to it in some social setting in which you were very young. You have socially learned that behavior. Apply a similar mindset to when you go abroad or engage with culturally diverse groups, and you'll develop your CQ. The more adept you become, the more you'll recognize the interplay of a country's culture, history, values, etc.
Some of the examples are good and other examples are bad. It seemed to me that the author, in writing a book about avoiding judgment of other cultures, passes judgment on characters in the stories. In one chapter the author tries to explain how the development of country-specific skills (a "laundry list") is a bad way to go about developing CQ. Instead, the purpose of CQ is "mindfulness" to recognize that the culture is different. So, in the story, the character was to illustrate a lack of CQ. The author makes a point of noting within the story how the character recognized that he was in a different culture, but he didn't know how to respond and, therefore, demonstrated a lack of CQ. That's like saying someone who has yet to learn calculus doesn't know math because he was given a calculus problem that he recognized as mathematical, but could only apply is knowledge of algebra. He failed to solve the problem because he hadn't learned the particular skill set for the particular problem. So it was detrimental to the overall point where the author was trying to explain how a laundry list of skill sets to deal with different cultures is a bad approach.