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 developing objectivity rather than subjectivity, seeing the core of the universe rather than appearances, and practicing remembrance of God (Namasmaran) which reinforces the convictions of the Gita's essence and makes its repeated recitation empowering.