Hi Julia,
To display a Header Element only on the first page of an Archive/Blog page, you’ll need a custom PHP snippet. Reference: https://docs.generatepress.com/article/generate_element_display/#display-an-element-to-the-first-page-of-archives-only
Try something like this:
add_filter( 'generate_header_element_display', function( $display, $element_id ) {
if ( 100 === $element_id && is_paged() ) {
$display = false;
}
return $display;
}, 10, 2 );
Replace 100
with the ID of your Header Element.
Adding PHP: https://docs.generatepress.com/article/adding-php/#code-snippets