Although there was a new update (15.1.2) released today. Blackmagic Design published a video about the new features (80+) in DaVinci Resolve 15.1 a couple of day ago.
I cannot stress enough that if you have even a small interest in video editing/production you should really check Resolve out. It is packed with so many features that I can’t even list them all. Just trust me. You will not be disappointed. See also DaVinci Resolve 15 Released.
You can download the latest version at Blackmagic’s support site under the latest downloads section. If you don’t need the professional features and I would assume if you are reading this you don’t. Be sure to download the version that does not include Studio in the title.

You can see the list of all the new features included with Resolve 15.1 on the Blackmagic Design forum listed under the Release of DaVinci Resolve 15.1 topic.