The ideal syringe is long and has a narrow inner hole, as it makes adjusting the dose easier. The outer barrel may not be an accurate indicator of the inner hole size. Also, the markings may be different even if the entire thing is the same. But yes, 1ML = 1CC
ML is a millilitre or, one thousandth of a litre.
CC is a Cubic Centimetre, IE a cube that's 1CM by 1CM by 1CM, and a CM or Centimetre is one hundredth of a Metre.
A Litre is defined as 10 CM by 10 CM by 10 CM
Thus 1 ML and 1 CC are automatically and always equal. Different terms of the same amount.
The Litre is thus based on the Metre, and the Metre is based on the size of planet earth, With exactly 10,000,000 Metres being between the North Pole and the Equator. It was designed to be easily interchangeable, but because the same base units are consistently used (Metre, Litre) it can sometimes get confusing.