Everybody has access of People form by default so that he can view record inside this form. If you wish give them a quick way to open this form then you can define the entry point for this form in the application list so that users can found this form easily in their application list panel. And wrote an AL to perform a search like it does when a user click on the "My application preference" link on incident management console.
2nd Option is to provide a hyperlink to the users which will direct the user over this form. provide the inbuilt qualification user=currentuser