How to view the log of all commands?
You can do this with cat $HISTFILE.
Bash by default stores the last 500 commands in a history file, most likely called ~/.bash_history. This file is in the variable $HISTFILE (and the size is in $HISTFILESIZE). You can get the path to the history file with echo $HISTFILE.
If you are still in the shell a quick way to see your recent session command history is the command:
$ historyVery handy for the scenario mentioned in the question, i.e. a colleague has typed some commands quickly in your session and you want to go back and have a closer look at them.