Suggest Treatment For Cervical Cancer

hi iam 34 years old about 5 or 6 weeks ago i had a colposcopy at my gynocologists office in which he found cancerous cells. then about 3 weeks after that he did a LEEP Cone. i went back this past thursday for the results of that and he told me iam "in the very early stages of cervical cancer" and now i have to have a hysterectomy. i have to have a ct scan monday the 18th which they said is to check if my chest,pelvic area,and abdomen is clear and "he justs like to have this done before the surgery". i will find out on the 27th when my surgery will be. i asked my doctor if after he did the hysterectomy if the cancer would be gone,if it would get rid of it, and he said yes. Is this really the truth...will it really be gone? i have been so nervous and scared the last few days...my nerves are getting the best of me. is what i was told for real....is that why iam having a ct scan done and will the cancer really be gone???