Just select the edge you want to add from the drop-down and press the Add button. Your edge will show up on the Installed Edges area and your perk points will be adjusted as per the rules of your selected primary book.
You can add a custom Edges here too! Please see the help for Custom Items.
Your selected and installed edges will show up here. Some edges will have options to type in some text to specify to what the edge pertains to (such as, what your character has a Phobia of, etc), and it also may have a checkbox to whether it's a Major or a Minor edge (this is mainly in SWADE since we now have an option to reduce or remove a edge entirely now).
Your custom edges will show up here.
Any racial abilities that are tagged as 'edges' will show up here.
Any edges added from an effect, cyberware, or anything else will show up here.