Elections happen regularly, for Borough and County Councils. Conservative members can put themselves forward to consideration to be on an approved list of candidates to then be selected as an official Conservative candidate for an election.
Your don't need a qualification, just passion for politics and for helping people in your local community. Democracy is founded on the principal of ordinary members of the public being able to stand for election, so do consider it if you think it's something you're interested in.
Below are some documents that you may find useful with a great deal more detail.