Dinner.
Cenar means Dinner.
¿Puedo venir a cenar mañana? means "Can I come tomorrow to eat dinner?" A better translation is "Can I come to dinner tomorrow?"
"What are you going to have for dinner today?"
This means "I'm going to eat dinner/supper" or similar.
cenar
¿Te vas a casa a cenar?
The cast of Se quedan a cenar - 2012 includes: Sara Montalvo Olivia Waters
"¿Quieres ir a una cita conmigo?"I'm not 100% sure on this one, it may be "ir en una cita".
pon tu cenar
to eat dinner: cenar dinner: cena
¿Cuantos para cenar?
Traducción: Vamos jantar.