。
I've gotten tired of watching TV.
Literal
I [topic-は] TV [object-を] watch [dative-のに] got-tired [emphasis-よ].
飽きる ('to get tired of, to get bored with') takes に to mark what one is tired of — and the object here is a nominalized verb phrase テレビを見る+のに. This のに is the dative particle に attached to a nominalizer の, not the adversative 'although' のに — same surface form, completely different function.