On your lesson dashboard, above your list of students, you should be able to see a drop-down menu titled Contextual Information.
Simply click whatever column you would like to see, then click apply, and that context will appear next to student names for this lesson from now on.
If you do not have the ability to add or hide any of these columns yourself, your school has probably chosen to centrally set which columns show as a default.
This can be set or un-set by anyone with the School: General Admin: Administer permission.
They will need to go to School > Programmes > Lesson Settings to edit user access to this feature. Any of the columns can be made to appear as default, appear as an option for the user, or not appear at all, depending on the priorities of your school.