So now get to see inside Cersei's head. This should be interesting!
She is awakened from a rather horrible dream into the rather horrible reality of a bunch of blokes in her room telling her to get up because her father has been murdered. They're not massively big on privacy in Westeros, are they?
She is lead to Tywin's chambers and he is indeed dead. She's a bit surprised to find Shae there, also dead. She is conflicted: feeling unsafe because if Tywin can be killed then any Lannister can be; feeling relieved because he can no longer force her to marry someone. She learns of Tyrion's escape and wonders if Varys has anything to do with that. But she does not yet suspect Jaime. Boy is he in for a world of trouble when she finds out!
Cersei also knows she is currently weak and has few friends she can trust. She needs some men to help protect her and Tommen. It is not looking good for her!
Also in this chapter we learn that Cersei wanted to "deal with" Stannis and Renly before killing Robert. And that an old woman in a tent once told her that Tyrion would kill her (in addition to her mother, father and, she thinks, son).