You basically have two ways of accessing your library, one is conventional, browse by artist, album, and so on. the other - and that’s the home screen and thus more prominently placed - has categories like “Discover”, “Made for you”, “Top songs from last week”, “New releases”, “Flashback by decade” and more. As to the Last.fm integration, I do not know of any app specific integration, maybe it’s a planned feature? My Navidrome server however has Last.fm and Spotify integration enabled to retrieve artist/album artwork and information. It’s returned and displayed by Tempo, but I don’t think it knows about the origins of that data. Tempo manages to put a lot of options to access your music onto the homescreen without making it look overwhelming. I just love it.