I am Eu citizen working in UK and would like to marry a girl non-Eu living in Indonesia. Is it possible for her to come in the UK and marry here and then stay in the UK.
What documents we need and how long it take ?
In principle, yes.
In practice, the Home Office will be very doubtful that there is a genuine relationship between the two of you, and the marriage is not just for the purpose of her being able to enter the UK. You will most likely both be asked to give convincing evidence that there is a genuine relationship. Getting married just to allow a person to enter the UK is actually a crime.