Yes they can vote like a UK citizen.
In UK, these are the norms to qualify to vote,
- be 16 years or over (but you will not be able to vote until you are 18)
- be a British, Irish or qualifying Commonwealth citizen
- be resident at an address in the UK (or a British citizen living abroad who has been registered to vote in the UK in the last 15 years)
As India is a common wealth nation, yes we can vote.
The Commonwealth, is a political association of 53 member states, nearly all of them former territories of the British empire.
Citizens from all the such nations can vote in UK.
What do you need?
1. Your National Insurance number (See back side of BRP card)
2. Your UK address with Post code.
1. You may vote anonomously
2. You may Postal vote
Each cities has their own web site. Browse google and find yours.
For eg: For Harlow city -> https://www.harlow.gov.uk/register-to-vote