Hi
@Seamus! Thank you for your question.
It can take about 2-3 months before the wart is completely gone. I would say they you should follow up with your GP to have a look to make sure it has healed effectively. As the wart "dies" off, you should see normal skin as per what you mentioned but some people may notice some darkening of the skin (hyperpigmentation) which will eventually subside to normal healthy skin. Further, there should not be any elevation in your skin and it should be flat once treatment is completed.
Do note that warts can recur regardless of treatment though not very likely.
Hope this helps!