AFAIK, it will be MIT licence.
Edit: Yep, MIT. It's not like it's secret: https://github.com/dotnet/corefx
Source: http://blogs.msdn.com/b/dotnet/archive/2014/11/12/announcing...
> and expanding .NET to run on the Linux and Mac OS platforms.
http://news.microsoft.com/2014/11/12/microsoft-takes-net-ope...
Microsoft will (in partnership with Mono the project) ensure that .NET core and server stacks run on Linux and OS X.
They've just demonstrated deploying an ASP.NET MVC5 application on Linux, running inside a (Linux) Docker container and being remotely debugged from Visual Studio on Windows. Which seems to indicate that they are already pretty far down that road.
(source: http://www.hanselman.com/blog/AnnouncingNET2015NETasOpenSour... )
I would be pretty shocked if MS just suddenly dropped their won linux/mac implementation. Xamarin and the mono team have been working on this for a very long time. MS is just bringing them further into the "legit" fold