Your recovery after your Mohs surgery will be a function of whether surgical defect is allowed to heal on its own or whether it is stitched. Stitches on the face will result in a suture removal in approximately 5 to 7 days. After this time, the area should be closed and well on its way to healing. It will be safe to apply makeup,  sunscreen, etc at this time and there will be no need for bandages. If it is allowed to heal on its own (no stitches) it may take anywhere from 3 to 5 weeks and will need to be covered with Vaseline and a bandage. FYI a large head-to-head study of Vaseline versus antibiotic ointment showed similar infection rates however the people using the antibiotic ointment developed an allergic reaction approximately 15% of the time. Therefore, there is no advantage to antibiotic ointment over pure petrolatum ointment