Some things have changed since the last version, specifically pertaining to the installer. Here is the new way Bonfire v0.7-dev handles the installation.
Your Web Root should be set to the public folder, but it's not. It's pointing to the Bonfire Root folder.
See below for an example of how your site should be set up in Apache:
<VirtualHost *:80> DocumentRoot "[...]/htdocs/Bonfire_Root/public" ServerName Bonfire.Root ServerAlias Bonfire.Root.local </VirtualHost>
"Let's make this the best kick-start to any CodeIgniter project." ~ The CI-Bonfire Team