Pretty straightforward, the usual places to figure out the OS you're on seem to be identical to plain Ubuntu on Ubuntu for Windows. For example uname -a is identical to a native GNU/Linux install and /etc/os-version is identical to a Ubuntu Trusty Tahr install.
The only thing I can think of is to check if /mnt/c/Windows exists, but I'm not sure if that's a foolproof idea.
 
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
    