I have a Bravia TV (model kdl-43-755c if i remember correctly), about 8 yrs old with the identical remote; the Home button will indeed bring up a menu which includes all the androidTV apps like Netflix, iplayer, youtube, Amazon, and more. Also a cog/settings option where you need to enable wifi or a wired connection to your broadband.
Each app will require sign-up or login, many also require a paid subscription.