Google domain is the beta domain registration service under which we can register only top level domains like .com, .biz, .info, .name, .net, .org and .pro. Under the Google domain registration, you don't need to pay for domain privacy differently. You do have privately registration facility. It has email handling facility too.

WIX provides the option to order and manage the domain name. Basically WIX is the platform to develop the website. You can customizable templates. You just have drag drop facility to create the website. Website development is more popular functionality of WIX.