Genesis provide you default and secondary sidebar for you widgets but if you want remove, edit or customize wordpress genesis theme also you can add new custom sidebar and widget place some of code provide below use them.

First backup your complete website bcoz may be any accident happens now edit you function.php from theme editor.

Remove Default Sidebar

/** Remove default sidebar */
remove_action( 'genesis_sidebar', 'genesis_do_sidebar' );

Remove Secondary Sidebars

/** Remove secondary sidebar */
unregister_sidebar( 'header-right' );
unregister_sidebar( 'sidebar' );
unregister_sidebar( 'sidebar-alt' );

Add Custom Sidebar

/** Add custom sidebar */
genesis_register_sidebar(array(
	'name'=>'Alternative Sidebar',
	'id' => 'sidebar-alternative',
	'description' => 'This is an alternative sidebar',
	'before_widget' => '<div id="%1$s"><div>',
	'after_widget'  => "</div></div>\n",
	'before_title'  => '<h4><span>',
	'after_title'   => "</span></h4>\n"
));

Add Widgets

add_action( 'genesis_sidebar', 'child_do_sidebar' );
/**
 * Add a widget/sidebar area.
 *
 * @author Greg Rickaby
 * @since 1.0.0
 */
function child_do_sidebar() {
	if ( !function_exists( 'dynamic_sidebar' ) || !dynamic_sidebar( 'Sidebar Name' ) ) {
}}

Also if you don't want to edit any code try Genesis Simple Sidebars plugin for this.

-sandy

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