The story is about Menolly, a musically gifted girl from an isolated fishing village who escapes from her unsupportive family and through luck and her own talent ends up as a rare female apprentice in the Harper Hall (and forms a mental bond with nine fire lizards in the process). It's classic YA "misfit kid finds their place", "modest protag turns out to have superior abilities", and "girl proves she's just as good as the boys".
As a high school student immersed in band and orchestra, I adored these books. I reread them over and over and over. I took them with me to the music camp I went to for three summers; being at that camp felt like what I thought living in the Harper Hall must be like.
Decades later, I still enjoy them. It's nice to escape into a world where people love making music together and you might Impress a fire lizard as a bonus. The Suck Fairy's treated these well; they're not free of problematic aspects, but the books don't have the dubcon/noncon/draconids-made-me-do-it material that a lot of the other Pern books have (indeed, that Dragondrums, the third in the triology has). They're adolescent wish fulfilment, overall done well.
(I don't have a copy of Dragondrums that I know of; if I did, it got purged. Piemur's fun as a side character but isn't who I want to spend a book with.)