bench press vs weightlifting

bench press and weightlifting both are nouns.

Word	Noun	Adjective	Verb	Adverb
bench press	Yes	No	No	No
weightlifting	Yes	No	No	No

As nouns, weightlifting is a hypernym of bench press; that is, weightlifting is a word with a broader meaning than bench press:

bench press: a weightlift in which you lie on your back on a bench and press weights upward
weightlifting: bodybuilding by exercise that involves lifting weights

Other hypernyms of bench press include weightlift.

bench press (noun)	weightlifting (noun)
a weightlift in which you lie on your back on a bench and press weights upward	bodybuilding by exercise that involves lifting weights
a small punch press mounted on a workbench