Convert 2 plug outlet to 3 plug outlet
I have a home in Colorado that was built in 1959. It has 2 plug outlets and I replaced them with grounding 3 plug outlets. I was told that since the electical wiring was in conduit that I did not have to run an additional ground wire to each outlet. I've also been told that each outlet should be grounded by attaching a ground wire to the receptacle and the outlet box.
I've tested each outlet and none of them show an open ground.
Is it necessary to ground each outlet by attaching a ground wire to the outlet box?
Thanks for your input.