Andrew Graham-Dixon visits the new Lucian Freud exhibition at the National Portrait Gallery. Mark Kermode talks movies with author Geoff Dyer whose new book is based on the Russian cult classic 'Stalker', Charlie Luxton explores the churches of architect Nicholas Hawksmoor, Alastair Sooke looks back at the extraordinary life of Japanese artist Yayoi Kusama and journalist Aleks Krotoski investigates the transformation of the world wide web when the next billion people go online. Miranda Sawyer chats to Emeli Sandé, winner of the Brit Awards Critics' Choice for 2012 and Clemency Burton-Hill meets Scrubs star Zach Braff, set to appear in his self-penned play All New People.

David Hockney, widely considered to be Britain's best-loved living artist, has taken over the Royal Academy in London with his exhibition A Bigger Picture made up of recent works depicting the landscape of his native Yorkshire. In this programme, Andrew Marr, a friend of Hockney's and an amateur painter himself, is in conversation with the artist, both at his home in Bridlington and in the galleries of the RA.