This is the 12827th most frequent Russian word.
культурную
"Культурную" means "cultural" (feminine singular accusative form).
The word 'культурную' here describes the exhibition, highlighting its relation to culture or the arts.
Я посетил культурную выставку в галерее.
I visited a cultural exhibition in the gallery.
In this context, 'культурную' pertains to the type of information, specifying that it's related to cultural aspects.
Мы получили культурную информацию о традициях этого народа.
We received cultural information about the traditions of this people.
'Культурную' here modifies the word 'программа,' indicating the nature of the program being focused on culture.