It sounds like you are misunderstanding the definition of the word.
“It would be nice to not deal with the stress and have the freedom to do whatever I want.”
You can have this without being bored. You can be bored and not be stress-free and not be free to do whatever you want.
“Do you ever feel this way or do you take pleasure in being occupied most of the time?”
Just because you are occupied most of the time does not mean you are not bored. Likewise, just because you are not occupied most of the time does not mean that you are bored.
Being bored is not a measure of how much you have going on in your life. It is more a mental state of how you are perceiving what is or is not going on in your life. People that experience boredom are disinterested, not necessarily carefree, unoccupied, or not busy.