Complex sentence: The recording was nationally broadcast and, after hearing it, a representative of the Fálkinn record label offered Björk a recording contract--her début, the album "Björk" was recorded, and released in December 1977.
Split into simpler sentences: The recording was nationally broadcast and, after hearing it, a representative of the Fálkinn record label offered Björk a recording contract. Her selt-titled début, "Björk" was recorded and released in December 1977.