You will have to switch to your blog using switch_to_blog( $blog->blog_id );
and the access the data you want from that blog.
switch_to_blog( $blog->blog_id );
get_theme_mod('your_key');
This should give you customizer option data for that blog.
Also I’m not sure where you are using this code, but instead of using wpdb
query you can use get_sites
to get list of your sites.
See: https://developer.wordpress.org/reference/functions/get_sites/
Hope this is what you wanted.