you need GROUP BY . try add this
GROUP BY l.times
like that
WHERE l.year =2014 AND v.type =0
GROUP BY l.times
EDIT-:
SELECT `users_limits`.times, SUM( l.times ) AS `result`
FROM `users_limits` l
INNER JOIN `vacation_types` AS `v` ON l.id_vacation_type = v.id_vacation_type
WHERE l.year =2014 AND v.type =0
GROUP BY l.times