It's not possible. The verb SELECT only retrieves data (without modifying it); and the verb UPDATE only modifies data (without retrieving it). There is no MySQL verb that will perform both actions. You will have to use two separate statements.
However, those two statements can be encapsulated within a transaction (if supported by your storage engine) to ensure that they are conducted atomically and/or could be invoked from within a stored procedure to simplify the command that must be issued by your client. Combining the two one would have:
DELIMITER ;;
CREATE PROCEDURE select_and_update(value TEXT)
BEGIN
START TRANSACTION;
SELECT * FROM `table` WHERE field = value LIMIT 0,2;
UPDATE `table` SET count = count + 1 WHERE ...;
COMMIT;
END;;
DELIMITER ;
Then your client need merely do:
CALL select_and_update('value');
UPDATE ... RETURNING. You will have to write two queries.