He is studying medicine/law .<br/>The above is fine.<br/><br/>He is reading medicine/law.<br/><b>[ Is this fine?] This may be formal. I am not sure.</b><br/>I know it is correct to say he is reading for his PhD.<br/><br/>In French, we say the following:<br/><br/>Il fait sa médicine<br/><br/>Il fait son droit.<br/><br/>[ French considers medicine a feminine noun and law is masculine. German has three genders namely der, das and die. Life is easy in English.]