the difference between 'to' and 'too'

to = untuk/kpd tergantung kalimat/teksnya
too = juga

"To" is a preposition, introducing a noun ... went to the window; fell to the ground; travel to Paris; very occasionally an adv. ... come to; heave to.

"Too" is an adv., meaning to a greater extent ... too large, too much, too loud; or extremely ... too kind; or also ... I'm coming too; or moreover ... we must consider, too, whether they should be invited.

So, your sentence should be written as: My neighbor likes TO listen TO music. But you could say: I like to listen to music TOO.