Go to Sessions/Events use the search box or 'Advanced Search' to find the Session you want to assign a speaker to
Click on the Title of the Session/Event or Presentation
Click 'Manage People' (sometimes labeled as 'Manage Speakers' or 'Manage Roles')
Click 'Assign Speakers'
Enter the search criteria for the person you want to assign and click 'Search'
Check the box next to the appropriate 'Role' and click 'Assign'
NOTE: if you cannot find the person, click on the correct 'Role' at the bottom of the screen and the system will allow you to add a new Person.