"Bendecir" means to bless in English.
So, "bendiga" translates to "may he/she/it bless" or "let him/her/it bless".
It is often used in religious contexts, such as in prayers or hymns. For example:
* "Que Dios te bendiga" (May God bless you)
* "La Virgen bendiga a nuestros hijos" (May the Virgin bless our children)