Last night it was said that gravitational waves were confirmed. I want to know whether gravitational waves can be used for propulsion in addition to being used for communication.

This is indeed a great news. The original poster's idea is very novel. First answer, in theory it is possible. The photon rocket is already under research and is expected to be put into use in 2050. According to Detonator Chicken's entropy gravity theory, gravitational waves and electromagnetic waves have incredible symmetry, so gravitational waves may also have a propulsive effect. Of course, Detonator Chicken’s entropy gravity theory only reveals symmetry, but we still need to continue to explore the unity between electromagnetic force and gravity.