What are some alternatives?
When comparing git-webui and TortoiseGit, you can also consider the following products
Gitweb - Gitweb is a git web interface written in Perl.
GitKraken - The intuitive, fast, and beautiful cross-platform Git client.
cgit - A hyperfast web frontend for git repositories written in C.
SmartGit - SmartGit is a front-end for the distributed version control system Git and runs on Windows, Mac OS...
gitg - gitg is a git repository viewer targeting gtk+/GNOME.
SourceTree - Mac and Windows client for Mercurial and Git.