DVLA is the agency responsible for issuing licenses in the UK. Their website is pretty detailed and informative – you'll find all the information you need on getting a license.
Driver and Vehicle Licensing Agency (DVLA) – http://www.dvla.gov.uk
Just to give you a brief of the process involved
- Apply for the provisional license Online at https://www.gov.uk/apply-first-provisional-driving-licence or by post (forms can be ordered at DVLA Form ordering service or at a post office)
- Once you receive the provisional license, you can register and take the written test (Includes a multiple choice test and a simulation test)
- Pass the written and appear for the driving test
For the practical test, it is good to get a few practice lessons from a driving school - this is especially needed for those who have driven a lot in countries like India (bit of unlearning of the bad habits needed which is where a good teacher can help). Some of the agencies include (worth checking the local players as well):