The story of the film is pretty thin, so thin that those two sentences sum up the entire plot. That said, I did enjoy the plot for what it was and liked that it didn't try to go with an overly complex story. Too many zombie films these days feel the need to have some huge plot with a twist at the end, and I tend to dislike that. It was really a breath of fresh air to have a back to basics zombie story that was just about survival.
There were a few things that I really liked about this film. The first and thing I liked the most about it was that it followed the "Romero Rules" of zombies. They were slow moving, easily avoidable in low numbers and were able to be killed with a good hit to the head. This movie also had great character interaction in my opinion and it really helped flesh out film and make the characters seem more real. The final thing that I really liked was that the characters weren't too heavily stereotyped in the movie, as opposed to almost every other zombie film that seems to have all the same character types.
Verdict: Enjoyable for what it is, just don't expect too much from it.