Bhavya, you are rightly confused since the word \'governance\' is seldom used to assign job responsibilities to HR.
Nevertheless, it includes the laying down of HR Policy guidelines & HR processes for the organization, communicating the same to employees and managing compliance of the same. This ensures the governance of people as per some standard norms which are transparently shared in the environment.
Suggest you may start with the Leave Policy (including attendance, holidays, working days & working timings) & get the same approved by your management before sharing with all employees. Other aspects will include preparing Job Descriptions for all job positions (if not existing already), followed by reporting channels (based on organization structure).
Like this you can move forward.
And in case your management favors e-governance to exercise better controls, you can look for \'EmpXtrack\' on the web as a useful tool.