They might not care for the fact that your late, but they will appreciate the phone call. Remember, do not make tardiness a habit. If you are ill, you should call your employer before your shift begins. Be flexible with your schedule. Some employers want people in earlier than the official starting time while others don't mind if you are a few minutes late because they want you to work late occasionally.
Most employers have their own attendance policy.
Be sure and inquire about it when you start work. Most companies allow so many personal and sick days per year. If you desire to move up in the company, watch what clothing the individuals in the upper level positions are wearing and dress accordingly. Typically, women should wear a suit or skirt and blouse. Men should wear a suit or a shirt, tie and nice trousers.