Burmese harp music is from 3:00 to 8:30 and her lecture is from 9:30 to 37:00 in the following Nobelprize.org's video.
The full text is available at the Nobel Prize website. I chose some highlights below.
"I thought of prisoners and refugees, of migrant workers and victims of human trafficking, of that great mass of the uprooted of the earth who have been torn away from their homes, parted from families and friends [and] forced to live out their lives among strangers who are not always welcoming."
"A young American fighting with the French Foreign Legion wrote before he was killed in action in 1916 that he would meet his death: “at some disputed barricade;” “on some scarred slope of battered hill;” “at midnight in some flaming town.” Youth and love and life perishing forever in senseless attempts to capture nameless, unremembered places. And for what? Nearly a century on, we have yet to find a satisfactory answer.
Are we not still guilty, if to a less violent degree, of recklessness, of improvidence with regard to our future and our humanity? War is not the only arena where peace is done to death. Wherever suffering is ignored, there will be the seeds of conflict, for suffering degrades and embitters and enrages."
"Absolute peace in our world is an unattainable goal. But it is one towards which we must continue to journey, our eyes fixed on it as a traveler in a desert fixes his eyes on the one guiding star that will lead him to salvation. Even if we do not achieve perfect peace on earth, because perfect peace is not of this earth, common endeavors to gain peace will unite individuals and nations in trust and friendship and help to make our human community safer and kinder."