I am currently working through the 30 day lesson for beginners. I am curious if the training received here is of a quality that can be mentioned on an Acting resume? 

Hi, Joshua! It's typical to list private coaching on a resume, but I don't see why you couldn't list 30 Day Singer as a course you've taken. Although you're not receiving private coaching, you are receiving instruction from qualified teachers (me, with a BA in choral music education + CA teaching credential in music; Abram, with a BM in Vocal Arts from USC).