The phrase "whole album" refers to a collection of songs that are meant to be listened to together as a complete set. It means listening to all the songs on an album instead of just one or a few songs. Full definition
Then we listened to whole albums on living - room hi - fis. (canadianbusiness.com)
With Amazon, I can stream the music from my personal cloud or buy whole albums directly through the device and start playing them immediately (both the Fire and Nook Tablet, by the way, do an excellent job of letting you play music while doing something else, like reading). (mashable.com)
Take music production: Gone are the days of recording on tapes with limited tracking, now whole albums are produced in bedrooms and equipment t... (invisioncommunity.co.uk)