This article describes how to show part color in a SOLIDWORKS drawing.
When you create a drawing of a model, the Hidden Lines Visible (HLV) and Hidden Lines Removed (HLR) display modes remove the color, showing all the lines in black. There is a setting within the options to do display the lines as colored. It can by going to System Option > Document Properties > Detailing. Then checking the box for “Use model color for HLR/HLV in drawings”.
This will use whatever color has been applied to show, either at the part level, or if a color has been applied as an assembly override. Below is a picture of the colored lines of an assembly.