In the Home section (iOS and Android) you'll see several carousels that will populate according to your actions:
Currently playing: Displays the audiobook you are currently playing or is paused
Expiring soon: Displays books that are expiring in the next 7 days
Recently read: Displays books and audiobooks that have been downloaded and read, including your progress as a percentage
Recently added: Displays books and audiobooks downloaded in the last 7 days, but not yet opened/read
Your NetGalley Shelf: Displays books you've been approved to access through NetGalley, and are available to download to read/listen (tap the arrow to view the full list, divided into Books and Audiobooks)