Sadly.... chuckle... this is a point of contention about 15.3 that we have all raised: There really isn't an easy way.
Most of us can tell by looking at the desktop but, for someone new to Linux, it is not that recognizable.
Please open a Terminal and type in
nautilus
If files launches, you have Core.
In terminal enter in
xfce4-appfinder
If it says, "Not installed but can be installed with..." - then you have Core.
. Instant download for me 

