History or log of commands executed in Git

Type history in your terminal. It's not technically git, but I think it is what you want.

A log of your commands may be available in your shell history.

history

If seeing the list of executed commands fly by isn't for you, export the list into a file.

history > path/to/file

You can restrict the exported dump to only show commands with "git" in them by piping it with grep

history | grep "git " > path/to/file

The history may contain lines formatted as such

518  git status -s
519  git commit -am "injects sriracha to all toppings, as required"

Using the number you can re-execute the command with an exclamation mark

$ !518
git status -s

If you are using CentOS or another Linux flavour then just do Ctrl+R at the prompt and type git.

If you keep hitting Ctrl+R this will do a reverse search through your history for commands that start with git

You can see the history with git-reflog (example here):

git reflog