It is more correct to say "turn on", because the counter from LiveInternet is already on your site.
By default it is hidden from visitors. To make it available, please contact our support team or add to the "CSS" field on the "Additional Features" page:
[data-bid='353'] { display: block; }
In order for the service to know about your site, you need to register it (your site) on liveinternet.ru yourself or contact our support team for help.