bloginfo('description') just displays the site tagline.
‘description‘ – Displays the “Tagline” set in Settings > General. This
data is retrieved from the “blogdescription” record in the wp_options
table.
https://developer.wordpress.org/reference/functions/bloginfo/#description
So yes, it will be the same on every page.
WordPress does not add meta descriptions to pages, or have the native capability to do so. You would need to use a plugin. Most SEO plugins have this feature.