I was seen right away after I told them I was pregnant. They did the doctor appointment, swab bed for extra cultures and then that same week I had my first ultrasound at 6weeks 2days.
Call and ask! My clinic sees women from 10-12 weeks but starts with a nurse visit from 8-10 to get labs done and ask all the silly questions! Usually they don't see you right away because there isn't much to do besides testing for pregnancy again!
Yes go to your doctor right away and if you don't believe it go to your doctor and take a pregnancy test and a blood test and they will tell yup and help you calculate from your last menstrual period count from there until now and also the doctors will help you plan until the due date
You should make your appointment as soon as you find out because they give you an appointment based on your last missed period and they want to see you between 8-10 weeks