Padded / Full Coverage Bra

A padded bra adds a layer of foam or fibre to the cups, which gives gentle shape and a little lift and keeps the nipple from showing through clothing.

Yes. The padded layer creates a smooth, opaque cup, so the nipple outline does not show through tops or thin fabric.

Not exactly. A padded bra adds even coverage and shape, while a push-up bra has thicker padding at the bottom of the cup to lift and add cleavage.