Hello Marixah! :)
hmm.. I'll try my best to answer.
When you say "I am bored" you mean you're in a state of boredom. Something is causing you to feel boredom.
In this case, "bored" is an adjective derived from the passive voice of the verb "bore" which is "bored". The subject "I" is being made bored by something.
When you say "I am boring" you mean have the quality/characteristic of being boring.
"boring" here is just an adjective, I think.