People already posted translations elsewhere (not sure if I'm allowed to link). But in summary, yeah, the Emperor is executed.
Also, Mine is pregnant with Tatsumi's child, they apparently get married and live away from civilization. Wave is mostly okay and Kurome spends the remainder of her life with him (it is implied that she still dies early, apparently). Akame goes off to find cure for the Murasame markings (as they hurt her). And the Empire's new government is all rainbows and flowers.