I don't have numbers on full/part-time work of government employees so I'm using the basis that $53K average salary[1] implies that nearly most are full-time, given that the average income overall is about that amount (edit: wow, it's totally not[4]).
Some more information. The average hourly wage for full-time employees is $24.72 across the entire population [2]. The same data shows that the average hourly wage for both part-time (25 and older) and full time is $24.89. This is not apples to apples, just giving you some expectation on what you can expect for a professional workforce that works both part-time and full-time.
Assuming, then, that full time is 2000 hours (40hrs/week*50weeks), the average hourly wage for part-time and full-time government employees works out to $26.55 [3].
So based on that information, I am comfortable saying that an insignificant number of government employees are part-time or they are excessively overpaid.
Further, I am then comfortable saying that 27% of the Canadian full-time workforce works directly for the government.