The new Spotify update is messing with everyone since they are used to the old look.
But I guess you can look into your friends profile by just searching their Spotify username. If you don't know their username, install Spotify Desktop for Mac or Windows, I guess you have a Mac since you have an iPhone. After that go to your own Profile and tap on your followers then find your friends username. Now memorise or just copy it since macOS and iOS have Universal Clipboard integrated.
Now that you have it just go to Search and type or paste it here and scroll down until you find the Profiles section in your search results.
Hope it helps, if it did mark it as a solution and drop a like if you like.
LoxerRock Star 16
Help others find this answer and click "Accept as Solution".
If you appreciate my answer, maybe give me a Like.