Send Friend Request On Facebook
When you see the person you assume you want to include, click her face; this takes you to her Timeline. At the bottom-right edge of her cover image is an Add Close friend switch. To include this person as a pal, all you need to do is click the Include Buddy switch. Clicking this switch sends out a Friend Request. When she accepts, you'll end up being buddies.
You will not be friends with somebody till she verifies your Friend Request. After she validates, you're notified by a warning showing up above the notices icon in heaven bar on the top.
So what does your potential close friend see after you send out a demand? That depends on what you allow them to see.
You can always return and change your personal privacy control settings as needed, but consider what info you desire your new pals to see about you before you send them a pal demand.