I’m not sure if this is for front end or back end, so I’m going to handle both.
BACK END
You can make use of get_current_screen() or the $pagenow global. Here are two examples which you can add in a plugin or in your functions.php to check the relevant info on an admin page
add_action( 'current_screen', function ( $current_screen )
{
?><pre><?php var_dump($current_screen); ?></pre><?php
});
and
add_action( 'admin_head', function ()
{
global $pagenow;
?><pre><?php var_dump($pagenow); ?></pre><?php
});
Once you have the name of the specific admin page, you can do the following
add_action( 'admin_enqueue_scripts', function ( $hook )
{
if ( 'some-page.php' === $hook ) {
// Add your scripts
}
});
FRONT END
As birgire pointed out, if you need to know this on front end, you can simply test this with is_page_template( 'some-template.php' )
add_action( 'wp_enqueue_scripts', function ()
{
if ( is_page_template( 'some-template.php' ) ) {
// Enqueue your script
}
});