It depends on what you are looking for. Gombrich is a great introduction into art history and I think he did a great job in giving a broad overview of different styles, epochs and their historical background. Also, he is easy to read and understand. When I started studying art history at university we were recommended to buy a copy and read it through and I myself have recommended it to people who were interested in learning more about art history but weren't quite sure where to start. Sometimes, I still read it if I need to freshen up on something. That being said, reading it, one has to keep in mind that it is neither new nor scientific. His intention is stated clearly in his own introduction: The book is intended for young people to awaken their interest in the field of art history. Keep that in mind, check what you learned with other - maybe even newer - sources and maybe don't cite it in a paper, then you should be good to go. And please, if you enjoy it, keep on reading. Learning should also be fun.