Classic Google Sites are equivalent to Google My Business.
If you just want a single page website to share it with your client to give you essential business details, go ahead and create a Classic Google Site. Google site is almost like listing your business on Google My Business. But that will not get you traffic. Create a website with RedTim. The RedTim websites are built on Automatic SEO technology. It helps you to get relevant traffic to your site and boost your sales.