Hi,
Easy Profile does not do this, but you can use a simple custom plugin, please follow these steps:
- Download (at the end of docs page at http://docs.easy-profile.com/index.php/article/triggers ), install and enable (Extensions->Plugins) skeleton plugin
- Open the edit the file at /plugins/jsn/skeleton/skeleton.php
- Replace entire code with this

<?php



defined('_JEXEC') or die;



class PlgJsnSkeleton extends JPlugin

{

	public function triggerProfileUpdate($user, $data, $changed, $isNew)

	{

		if(!$isNew)

		{

			$body=$user->name." updated user profile. \n\n";

			foreach($changed as $fieldalias){

				$body.=$fieldalias .": ". $data[$fieldalias] ."\n"; 

			}

                        $config = JFactory::getConfig();

			$result=JFactory::getMailer()->sendMail(

				$config->get( 'mailfrom' ),        	// Sender Mail

                                $config->get( 'fromname' ),		// Sender Name					        					        

				'admin1@email.com',		        // Receiver Mail

				'Profile Updated',			        // Subject Mail

				$body	                                        // Body Mail

			);

		}

	}

}



?>

IMPORTANT: Replace admin1@email.com with email of receiver