Earlier quoted context omitted.
It looks like there's a legend that this was the case, but January has been the first month of the year through all of recorded history, and Julius Caesar's version was no different. EDIT: Because there's a lot of confusion in several replies I thought I'd clarify: February was the second month in Julius Caesar's calendar. Romans in the Republic describe the month as being at some point the last month in the calendar…
As a Persian, I always found the Gregorian calendar weird. In Iran and some other countries, Jalali calendar is used which is much more straightforward: https://en.wikipedia.org/wiki/Jalali_calendar The Iranian calendar (also known as Persian calendar or the Jalaali Calendar) is a solar calendar currently used in Iran and Afghanistan. It is observation-based, rather than rule-based, beginning each year on the vernal…
That’s just a convention. In Russia we use “meteorological” convention, for example, and so each season starts on the 1st of some month (March, June, September, December). It is off from the astronomical convention by ≈20 days and it is off from reality by whatever depending on your location and your feelings on what constitutes seasons.