Hello, Dakota! :)
Turn on = включить (sometimes it is written ВКЛ.)
turn off= выключить (ВЫКЛ.)
If you ask someone to turn on the TV, you say, (imperative mood) ---> Включи телевизор or, more kindly "Ты не включишь телевизор" "Включи пожалуйста телевизор"
The same way "Выключи....." = turn off
BTW TV is often called "те'лик" "ящик" (slang)
hand me the remote = передай мне пульт
What other phrases would you like to know?