Open file ~/.bashrc , e.g.

nano ~/.bashrc

If you have no nano use:

apt install nano

Add to the end of the file:

parse_git_branch() {
   git branch 2> /dev/null | sed -e '/^[^*]/d' -e 's/* \(.*\)/ (\1)/'
}
PS1='${debian_chroot:+($debian_chroot)}\[\033[01;32m\]\u@\h\[\033[00m\]:\[\033[01;34m\]\w\[\033[00m\]\[\033[33m\]$(parse_git_branch)\[\033[00m\]\$ '

The solution will work for WSL 2 or mintty terminal from Cygwin: and will not work on Windows native cmd. This will look like this:

Show git branch