Robarte Un Beso means to steal a kiss from you. The video is very cute, and I don't think it would matter if you don't speak Spanish.
If it helps to know what the introductions to each mini story say, they are as follows (pardon any mistakes):
The note on the package is Hijo Ten un feliz día (Son, have a nice day)
Andres le dijo Te Quiero a su mamá por ultima vez cuando tenia 12 años (Andres last said I love you to his mum when he was 12 years old)
Jorge y Rosa tienen 47 años de casados y rara vez comen juntos (Jorge and Rosa have been together 47 years but have rarely eaten together)
Martin y Caro llevan 3 años de novios, Caro jamás ha recibido una serenata (Martin and Caro have been boyfriend/girlfriend for 3 years, Caro has never received a serenade)
Mateo ha estado enamorado de Juliana desde 3er Grado (Mateo has been in love with Juliana since the third grade)
An English translation of the song is available here - http://lyricstranslate.com/en/robarte-un-beso-steal-you.html