Yes Greek Yogurt is good for dogs and all types of yogurt is safe for dogs to consume in moderation.
However just note that some dogs may have trouble digesting yogurt because yogurt contains lactose which is sometimes hard for some breeds of dogs to digest.
But as long as the dog has no other digestive health issues or is not lactose intolerant then the dog can safely eat the yogurt.
But giving the dog too much yogurt may cause diarrhea in the dog.
My dog has a bowl of yogurt at least once or twice a week which helps keep him healthy.
My dog loves yogurt and wants the yogurt more often but if I give the yogurt to the dog too often he gets diarrhea.
Other than that the dog is okay with eating yogurt.