We don’t control what does or doesn’t get pulled in by Google (it’s their algorithm). There needs to be a minimum of 5 reviews on any given platform to have Google pull it in, but that being said there is no guarantee that the reviews will pull over automatically.
Google reviews have the most weight on your profile. Over time as your profile gains more weight in Google's search algorithm, your profile will appear in broader and broader searches. The more google reviews that you have, the better chance you have at showing up, so make sure to send out your review link to clients!