I believe KTR's answer is correct: the name of the construction is "apposition". I wanted to add some more notes on how it works (and I sort of like it actually...)
Author of Gitanjali and its "profoundly sensitive, fresh and beautiful verse", he became the first non-European to win the Nobel Prize in Literature in 1913.
Now here, the first noun phrase Author of Gitanjali and its "profoundly sensitive, fresh and beautiful verse" is sort of dangling, but it acts as an antecedent to he in the sentence's main clause. The antecedent, so constructed, acts to qualify the main phrase through explanation or amplification.
Read this kind of apposition as sitting between two extremes. On the one hand, you could have combined the two phrases using a conjunction and, which does not state or imply any causal connection:
- He was the author of Gitanjali and its "profoundly sensitive, fresh and beautiful verse", and he became the first non-European to win the Nobel Prize in Literature in 1913.
On the other hand, you could explicitly state a causal relationship, implying that he won the Nobel because of his authorship of Gitanjali.
- As the author of Gitanjali and its "profoundly sensitive, fresh and beautiful verse", he became the first non-European to win the Nobel Prize in Literature in 1913.
The appositive construction sits between these two poles; the antecedent clause "he was the author of..." is offered up as only a hint, or as supporting context for the main clause "he won a Nobel Prize...".
Author of...
andhe
are parallel.