My mother bought a flat in 1995. I want to know if she can gift it to me. Will the society charge me a transfer fee like they do for resale flats (around Rs. 50,000), or will it be considered an internal transfer?

Your mother can gift you the flat. The society may charge a transfer fee, but it’s likely to be lower than the resale fee. Whether it’s considered an internal transfer depends on the society’s bylaws and the local authorities’ regulations. You should consult with the society and relevant authorities for clarification.