I have been using the beta web version of Apple Music since it launched, and it has been pretty okay for most basic functions, but had its share of bugs and unfinished it was.
I picked up this news through a tweet by Paul Thurrott. You can now go to music.apple.com and sign in (if you are already a subscriber) or click on Try it now and create and account.

Prior to Apple Music on the web, the only way for Windows users to access Apple Music (aside from through iOS devices) was through ugly and bulky iTunes. Mac users of course had newly designed Apple Music since they exploded functionalities of iTunes into 3 separate apps.
You can actually pin the Apple Music site to your taskbar for quick access. It has most of the basic functionalities available like accessing your playlists, Radio and For You section.
If you are a subscriber, do try it out. For Kenyan users, it is actually the only music streaming service legally that is available in this region. If you know other services, do let me know in the comment sections.