I just finished The Postmortal my Drew Magary. Not a zombie book, it covers the story of one man from the time he recieves the "cure" to the time of the "correction". Its a pretty quick read, Id recommend it.
"Imagine a near future where a cure for aging is discovered and-after much political and moral debate-made available to people worldwide. Immortality, however, comes with its own unique problems-including evil green people, government euthanasia programs, a disturbing new religious cult, and other horrors. Witty, eerie, and full of humanity, The Postmortal is an unforgettable thriller that envisions a pre-apocalyptic world so real that it is completely terrifying."