This short video has a very clear explanation of the 'Veil of ignorance' part of Rawls' theory of justice.
The first part of this video explains Rawls idea of the 'original position' and the 'veil of ignorance' to show the significance of his ideas for justifying modern liberal approaches to the 'enabling state'.
The second part contrasts Rawls with neo-liberal, Robert Nozick.
This is a longer listen, with an explanation of Rawls' three main principles of justice: liberty, fairness and difference.