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.
Yes totally normal:-) Now if you start to bleed like a period call your doctor as that is not normal.
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.