Try this one you need to add 'paged' => get_query_var('page')
so your code in $my_query should be like this
$my_query = new WP_Query(array(
'post_type'=>'post',
'posts_per_page'=>'1',
'paged' => get_query_var('paged')
));
You just need to pass along the ‘paged’ query var from the main query:
You can see also Codex page on query_posts()