Usually, the unit is given for each CRS inside its documentation, so you can find it directly in the CRS information, for example :
UNIT["metre",1,AUTHORITY["EPSG","9001"]
UNIT["degree",0.01745329251994328, AUTHORITY["EPSG","9122"]]
if you don't find the information on your system (, you can check on spatialreference.org
Be aware that sometimes both the unit of the datum (usually degree) and the projection are mentioned, in this case you need to select the unit of the projection.
> PROJCS["GGRS87 / Greek Grid", <-- this is the name of your coordinate system
> GEOGCS["GGRS87", <-- here starts the desription of the datum
> DATUM["Greek_Geodetic_Reference_System_1987",
> SPHEROID["GRS 1980",6378137,298.257222101,
> AUTHORITY["EPSG","7019"]],
> TOWGS84[-199.87,74.79,246.62,0,0,0,0],
> AUTHORITY["EPSG","6121"]],
> PRIMEM["Greenwich",0,
> AUTHORITY["EPSG","8901"]],
> UNIT["degree",0.01745329251994328,
> AUTHORITY["EPSG","9122"]],
> AUTHORITY["EPSG","4121"]],
> <-- Here starts the description of the projection, below you find the unit that will be used for calculation
> UNIT["metre",1, AUTHORITY["EPSG","9001"]],
> PROJECTION["Transverse_Mercator"],
> PARAMETER["latitude_of_origin",0],
> PARAMETER["central_meridian",24],
> PARAMETER["scale_factor",0.9996],
> PARAMETER["false_easting",500000],
> PARAMETER["false_northing",0],
> AUTHORITY["EPSG","2100"],
> AXIS["Easting",EAST],
> AXIS["Northing",NORTH]]
in the proj4text, you'll find the unit of the CRS only
+units=m
when no unit is mentioned, the default is degree.