Is it normal to have any bleeding during the first trimester?

No, but it is common. First, it is reassuring to know that many women with bleeding in the first trimester go on to have healthy babies. Second, it is important to tell an OB provider so that testing or imaging can be done. Third, it is a fact that many women with bleeding early in pregnancy bleed again during the pregnancy and occasionally deliver early. Women should keep their OB providers informed of all bleeding.
Yes, but speak up. Light bleeding in the first trimester is common and not necessarily a sign that anything is wrong. You should talk to your doctor about any bleeding you are having.