Dr. Shriniwas Kashalikar discusses his approach to studying the Bhagavad Gita, which involves writing about it on a daily basis rather than strictly following the chapters and verses sequentially. This allows him to emphasize important points through repetition and develop new insights over time. Some of the key lessons he has learned from studying the Gita include that it teaches us to see the core or essence of things rather than appearances, trains us to enter the center of the universe, and guides us towards developing super love and romance through experiencing the core of others' hearts. Repeated practice of chanting or reciting verses from the Gita helps to reinforce its teachings and blossom one's consciousness.