Church does not give blessings for same-sex unions

“[I]t is not licit to impart a blessing on relationships, or partnerships, even stable, that involve sexual activity outside of marriage (i.e., outside the indissoluble union of a man and a woman open in itself to the transmission of life), as is the case of the unions between persons of the same sex.”

https://press.vatican.va/content/salastampa/en/bollettino/pubblico/2021/03/15/210315b.html