The actual anaesthetic follows the same lines as any other anaesthetic, except that your anaesthetist will use drugs that a very short acting and leave you without a hangover.
You will be admitted to the clinic on the day of the operation, and you should carefully follow the rules about fasting. You should complete the pre-operative admission form with medical history in some detail, so that your anaesthetist has full knowledge of your condition.
After the operation you will find that you are wide-awake very soon after the anaesthetic. You should not be discharged if you cannot stand without dizziness, cannot walk unassisted, or if you have pain or nausea.