If you have created a Google Website via your Google My Business listing your Google Posts now appear live in your website.
You don’t need to do anything, they are automatically exported onto your Google Website.
You can also manage your Google Posts direct via website builder. Clicking manage posts or create posts redirects you to the Google Posts page in your GMB account dashboard.
The Google Posts are displayed after the banner image and before the sites displayed content.
The content snippet is also read and indexed by googlebot which is a small bonus. I like it, it looks good.