Despite the dark nature of the show, the little violence there is tends to be, for the most part, bloodless or not graphic.
A girl runs out happily on the street and is suddenly hit by a truck. Shots of the collision are repeated alongside death metal music. Bloodless and not graphic, but it comes out of nowhere--in the first minute of the show--and could shock some viewers.
Sakura is shot, and she collapses (but as she is now a zombie, she wakes up soon after unharmed). Not graphic, and no blood.
The closest thing to a graphic scene so far: Kotaro shows his group of zombie girls clips of zombie deaths from in-universe movies to scare them into keeping them being zombies a secret. The clips are quick and go by fast, but show zombies being shot, sliced, and massacred, often showing greenish blood.