I had two teeth pulled a week ago. Is it normal for me to still be in pain? It is still throbbing a little bit and it is very sore.

Its possible. The area can still be sore and still in the healing phase. THe throbbing can represent an infection developing so I would contact the DDS who removed the teeth in the first place just to check the area.
Pain. Pain is never normal. Pain after surgery is to be expected, but it's not normal. Being pain free is normal. Your pain should be subsiding a little every day. If not return to the Dentist or specialist Oral Surgeon who removed your teeth for a reevaluation. You may need additional care.
Follow up with surg. You should be having a 2 week follow up with the surgeon. Have them evaluate the area.