According to the Tel-Aviv Municipality website (link in Hebrew, check the one-before-last FAQ), Blue-and-White pavement is a traffic sign meaning that you have to pay parking fee. Therefore you should attach a parking card to your car if you park on weekdays (Sunday-Thursday) from 09:00 till 19:00 and on Friday from 09:00 till 13:00. If a traffic sign posted at the street's corner states otherwise, you should follow its instructions, even if they're different from the times stated above.