granny bikini
This is the variant of the bikini swimsuit that was popular and considered daring in the mid-1960's, when the Beach Party movies were made starring Annette Funicello or the original version of Where the Boys Are. It consists of a full, often padded, bra and a short-shorts or skirted bottom, as opposed to the string bikini or the French cut bikini of later times. This term is usually used sarcastically to refer to the type of swimwear occasionally adopted by those who are excessively modest or who have very restrictive parents.
Jessica can only wear granny bikinis on the coast because her parents are professional hardshell Baptists.