Is there a way to show the branch in git somewhere visually (background or similiar) in ConEmu?
Disclaimer #1
ConEmu is not a shell, so it does not provide "shell features" like tab-completion, command history and others.
Usually, Git information like branch or amount of changes is displayed in the command line prompt, for example C:\path\to\repository [branch|+2~4-6]>
. This is done by the executing shell, not the console frame.
As far as I know, the standard Windows command prompt (CMD) does not support modifying that. The bash that comes with Git for Windows already supports that perfectly though; and for PowerShell there are numerous extensions for Git, most notably posh-git.