Rima Lal, a student of Vidyasvam's Samskrita Karyashala, has built Bhagavad Gita Vyakaranam — a dedicated site that applies the Paninian grammar and karaka-analysis method taught in the Karyashala to the Bhagavad Gita itself.
Instead of reading a translation, the site walks through the Gita shloka by shloka: identifying each word's grammatical role, working out the anvaya (natural word order), and arriving at the meaning the way the Karyashala teaches — from the grammar up, not from someone else's gloss.
It began as coursework analysis of the opening chapters and has grown into a standalone reference in its own right.