I had the same thing happen, called my doctor and he said it was common. It stopped a few hours later and haven't seen any other bleeding since then.
Yes totally normal:-) Now if you start to bleed like a period call your doctor as that is not normal.
It's normal to have light bleeding after having your cervix checked. It doesn't happen to everyone but it does happen. If it's more than a little spotting, I would go back.