Young Blonde Girl In The White Bed

The box spring will often lie on a bed frame (which lifts the mattress/mattress-box spring off the ground) or on slats (usually made of 1" x 4" wood).
A "headboard", "side rails", and "footboard" or "front rail" will complete the bed.
"Headboard only" beds often incorporate a dust ruffle, bed skirt, or valance sheet to hide the bed frame.
For greater head support, most people use a pillow, placed at the top of a mattress. Also used is some form of covering blanket to insulate the sleeper, often bed sheets, a quilt, or a duvet.