How to do it?

Hi there,

i can’t see a lot of difference between your site and the reference site.
The differences i see:

1. Menu Button – this article explains how:

https://docs.generatepress.com/article/adding-buttons-navigation/

2. The hero element – this is GP Premium Feature called the Header Element:

https://docs.generatepress.com/article/header-element-overview/

You would need a premium license to achieve that affect.