When the car stalls for whatever reason it is normal for the below items to occur:
No power brakes or power steering. It's called "power assisted" for a reason
Brake pedal becomes harder to push. Without the engine running there is no vacuum assist to help you with the brakes. It is not impossible to stop the car, often the adrenaline of the car stalling gives you all the leg power assist that you need. Before the mid 60's cars didn't have power brakes, everyone had to stop them with muscle.
Steering same thing as the brakes except the power steering is run off a pulley on the motor. If the engine stalls and doesn't turn, there's no power assistance. Grab the wheel, you can still turn it.
Both of these can be tested/seen if you turn the key to on, but don't start the car and try to stop it or turn the wheels.
All the dash warning lights come on. This is all very normal. Turn your key on w/o starting the car. You'll see almost all the warning lights on the dash illuminate. This is to test the bulbs for you to notice when you are starting the car. Oddly enough this is all detailed in the owners manual that lives in the glove box.
Hopefully this has helped you realize and learn about your vehicle.
