On my car (140 chassis, not 202), the 2nd blower you describe is(are) the electric fans in front of the radiator. They only come on when required, even with the A/C on. At least on my car, it is normal for them to cycle on and off with the A/C, especially when it's reasonably cool out.

It's possible that the switch that controls the fans isn't working correctly.

However, since you are having trouble after a service on the A/C which should have resulted in proper operation - I'd go back to the shop that worked on it.