Although free Groove Music version is available, naturally it does not provide such a wide variety of albums/artists/styles/news.
Up till now, this tool is considered to be the best media player, which provides access to millions of albums and artists, as well as allows listening to MP3s hosted in OneDrive account. Later on, Microsoft started using Groove, which is a service and, therefore, decided to prevent Groove confusion with Xbox and replaced the name of Xbox Music to Groove Music. Previously, Groove Music was known as Xbox Music and Windows 8 users praised it for many reasons. The answer to your question is simple: you cannot uninstall Groove Music in a usual manner via Control Panel due to the fact that it’s a default media player inbuilt in Windows 10.