Meaning of the 1st line is not "don't be blind" but "don't fall asleep, light of my two eyes"
It says just that, the person is asking his or her eyes to stay awake. Because the lovers would meet at dawn ;)

"Világ" in this sense is a short form of "világosság" = brightness, light

Traditional Hungarian folk song from Nitra County in Slovakia.

This is a great track by Faun, but the melody is hardly recognizable.

Andrea Gerák (yours truly) sings the original melody, in original Hungarian: https://lyricstranslate.com/en/ne-aludj-el-dont-fall-asleep-dont-fall-as...