"La strada va verso la piazza."
Traduzione:The road goes towards the square.
"The road goes towards/to the square" it's ok. Street is essentially a particular location, like 5th Street at NYC. Road could mean many different things. Actually, plaza it's an english word, similar to square. Instead, place absolutely not mean square/plaza. Place has a general sense meaning "location". Ex: "He's at his workplace", "I was at your place", "can you tell me the meeting place?" etc.