I've had skin cancer so maybe I can give you some reassurances about the processes. So I don't know who she has seen or what treatments she's had but it's normal to 1. see the GP, then 2. a dermatologist who will likely remove the growth and test for cancer. If that is positive, they seek to dig it out and lymph nodes too to check to see whether there's spread. If there's no spread, she will get a consultant for the operation then a long period (five years or so) or check ups for more growths.
Now if she's just seen GP, unless they are a specialist, it's early days. She might be calm because they haven't given her a pathway for treatment. This means it's early days, they can remove the growth under a local anesthetic and do the tests for cancer. This is usually done with small margins and maybe 3 stitches depending on the size of it. Test results come back in a matter of days. They will be able to determine the depth of the cancer with a stage number. I was a 1b so early days.
If she's a bit further down the road and has a diagnosis, she should have a cancer stage number. From there it's a bigger op under general anesthetic. she will no doubt need a bit of support, it's a big op. I had 8cm of skin removed for a 7mm mole so they go in and take wide margins to get everything. The lymph nodes drain off fluid from your body and can take a while to heal whilst they divert the fluids. I had a bag to drain the fluid for several weeks. I took a month to get back to work. After the big op you'll get a call with the results as to whether its spread about a week later.
With regards to a skin graft-I don't know. I have a large scar but am expected to live with it. I suspect if it's a place that could be life changing (like the face), skin grafts might be part of the end process of recovery. Scars can be improved by massage and using skin gels to aid recovery. Specialist masseurs can help with techniques as can the consultant.
It is quite scary but skin cancer care in the UK is good. I'm lucky because I have a relative who is a melanoma specialist and coached me through the results. I'm happy if you want to PM me for a hand hold.