Lots of wonderful threads have already been written on the forum about cool weather biking wear. Try searching for terms like ""cool weather", "cold weather", "warm gloves", "wool clothing", etc....and you will find more great info than you could ever imagine! Some threads are about really cold weather biking (0-30 degrees) and others are about temps in the 50-60s, like yours.
The search tool is near the top of your screen, between "New posts" and "Quick links". Have fun!