I assume you mean the Home Folder app is displaying a picture of a folder instead of the new File chest. I haven't tried this myself, since I did a fresh install of Ubuntu 13.04, so I'm not sure that this will work.
The launcher used to start the Home Folder app (Nautilus) is different in Ubuntu 13.04 compared to older versions. Before, the launcher was called "Home Folder", although a "Files" launcher also existed that ran the same app. However, in 13.04, the one pinned to the launcher is the "Files" one.
So the Home Folder is probably displaying the icon it says it is - the home folder. Try searching the Dash for "Files" and pin it to your Launcher instead of the "Home Folder" launcher.
Here is a picture of how the icons look in Ubuntu 13.04: