Developer Broccoli plans an unaltered port of the PSP game
The idols of Uta no Prince-sama are on the way to Nintendo Switch. Broccoli announced plans to bring the PSP otome visual novel Uta no Prince-sama Debut to Switch in Japan on February 25, 2021, priced at ¥5,800 (about $54).
There are a bunch of different retail incentives for the game depending on where it's purchased, and they're all detailed on the official website. As for the game itself, it appears to be a straightforward port without any major updates to the 2012 PSP version.