Legolas and Gimli...fiddling around the City?

[The Might]

I guess they received a guide tour through the city, just like Pippin when he first arrived there.
Probably they weren't in much mood for drinking, I think they had enough problems at that time to party.
Probably they also helped the Gondorians burry the bodies of those fallen in battle. I guess Gimli also helped with the repairs of the city, since it is clear he had knowledge of masonry as seen during the Battle at Helm's Deep when he gives indications for blocking the narrow channel beneath the wall.
Legolas probably had knowledge of healing and probably helped the sick and wounded.