The Wiktionary mentions 3 usages:
1/ (idiomatic) To give evidence regarding something; to attest for.
2006 Staff of Vault, The College Buzz Book, page 176:
This definitely speaks to the fact that at Georgetown, beginning at the admissions process, you're not a number but a real person.
2/ (idiomatic) To address a particular topic.
1981, McGill journal of education
Education for being speaks to what grows within the person himself
3/ (idiomatic) To resonate with, to strike a chord in.
His music really speaks to me.
All three usages don't seem particularly new.