First you need to transfer the RC (ownership) -
Documents Required for Transfer of Ownership
1.Original Registration Certificate (RC)
2.Application Form 29, 30 (with seller and purchaser signature)
3. Affidavit from the seller and the purchaser regarding transfer of ownership
4. Address Proof of purchaser
5. No Objection Certificate from the concerned RTO/ AETC in case of Transport Vehicles
6. Valid Insurance Certificate
7. Appropriate fee

Once RC name change is done, Transfer the Car Insurance -
1.Application for change of name
2. Original Registration Certificate (RC) with transferee name (new owner or buyer)
3. Old Insurance Certificate
4. Appropriate fee

More details read article link