Obviously is used when it's very clear that it's the situation.
I have two apples and you have two apples so obviously, we have four in total.
Apparently is used when it seems to be true, although it's either not clear, or it's very new knowledge.
You have just found out that Janet is going with you and your friend Tom to dinner. The hostess at the restaurant asks how many people will be there when you make the reservation. "Apparently, three."
Student or Learner