Vuoi? is an Italian equivalent of the English phrase "Do you want?"
Specifically, the word functions as the present indicative of the present infinitive volere in the second person informal singular. The appropriate subject pronoun tu("[informal singular] you") -- which may be included only for clarification or emphasis -- is unnecessary since the verb ending identifies the listener's person. The pronunciation will be "vwoy"* in Italian.
*The sound is similar to that in the English noun "toy."
Che vuoi, Lei che cosa vuole? and Cosa volete? are Italian equivalents of the English phrase "What do you want?" Context makes clear whether a formal (case 2) or informal "you" (example 1) or two or more "you all" (example 3) suits. The respective pronunciation will be "key vwoy," "ley key KO-sa VWO-ley" and "KO-sa vo-LEY-tey" in Pisan Italian.
"I want to learn Italian!" in English is Voglio imparare l'italiano! in Italian.
"Do you want to play?" in English is Vuoi giocare? in Italian.
"I want to be with you!" in English is Voglio essere con te! in Italian.
vogliamo
La voglio in Italian means "I want her" or "I want it" in English.
"I don't want" in English means Non voglio in Italian.
"I want coffee!" in English is Voglio del caffè! in Italian.
"Do you want a chocolate?" in English is Vuoi un cioccolato? in Italian.
"I want to be friends with you!" in English is Voglio che siamo amici! in Italian.
"Do you want to go to lunch?" in English is Vuoi andare a pranzo? in Italian.
"Do you want to drink something?" in English is Vuoi bere qualcosa? in Italian.
"You're the one I want!" in English is Sei ciò che desidero! in Italian.