Smart tv--how exactly will this work?

We now have stronger, faster internet. It's "U-Verse" internet if that means anything. But yes, it does successfully stream Hulu tv shows without loooooooooong buffer periods unlike our old, slower internet connection.



So here's my question: If I spring for a smart TV, will this U-Verse internet via Wi-Fi be adequate to stream films on the new, smart tv?



I am still trying to avoid cable tv and having a monthly cable bill.

Smart tv--how exactly will this work?