This is a question I get asked a lot by parents, but there is no general, one-size-fits-all answer. The short answer is yes, private lessons will make a significant difference. That said, there are many factors to consider before committing to private lessons. They require effort, time, commitment, money, and an idea of the desired outcome.
When your child is just starting out, I suggest participating in a group class initially. This will give the student a feel for the sport, establish camaraderie, and boost confidence among peers to achieve difficult skills.