You can approve the PTO's of the users for whom you are set as PTO Manager. 

To approve the PTO's, go to the PTO tab in Salesforce, and go to the PTO Approvals subtab. You see the PTO's requested by users. 

Select the row by clicking the check box and click the Approve button to Approve or click the Reject button to reject the PTO.

To view the PTO in detail, click the + button that is at the end of each PTO row, check the details and Approve or Reject them.

You see the Notes, Out Of Office instructions, Number of days requested in the PTO, etc., when you expand the PTOs by clicking the + button.

By default, the PTO Approvals screen shows the approvals pending for the current month, of all the users for whom you are set as PTO Manager.

To view the PTO of a specific user and specific date, select the From and To date, the user from the list, and click the Apply button, Then Approve/Reject the PTO's of the user.