The network has released a promo for the second episode, called "The Lion and the Rose," and here's the description.
Tyrion lends Jaime (Nikolaj Coster-Waldau) a hand. Joffrey (Jack Gleeson) and Margaery (Natalie Dormer) host a breakfast. At Dragonstone, Stannis (Stephen Dillane) loses patience with Davos (Liam Cunningham). Ramsay (Iwan Rheon) finds a purpose for his pet. North of the Wall, Bran (Isaac Hempstead Wright) sees where they must go.