its not good to have constant stalling. though it can handle a significant amount of such abuse ..long term it can cause issues e.g. engine mounts failing. bushes, exhaust fractures etc.
check our idling speed is correct.. is it auto choke? manual? use enough revs to move car from stationary. bear in mind when cold an engine tends to have less power due to internal friction etc.
keep rpms up and allow clutch to ride a bit until car is moving e.g. at least two revolutions of a wheel.
have we had car checking for air leaks or faults? this can cause stalling issue.
Yes, it DOES hurt the car. You need to learn how to coordinate the clutch and the accelerator to obtain a smooth start. You should be pressing down (gently) on the accelerator at the same time you are releasing pressure (SLOWLY!) on the clutch. Do BOTH at the same time. You also need to learn to LISTEN to the engine to tell when it needs more accelerator while you are starting.
TURN THE STEREO OFF and listen to your engine.
Excess throwout-bearing, clutch disc, and pressure plate wear. You either are not feeding the engine enough gas to bring the RPM's up to 1,500 before releasing the clutch / or / when you do release the clutch the forward movement of the car is making your foot release the clutch with a jerk, stalling the engine.
When learning to drive a stick and can't get out of first and the car keeps stalling out like several times keep starting first gear get it going a bit stall out over and over until I get the car moved from one end of a parking lot to the other about a city block away.....