The front color is tan-yellow, with a picture of mitosis, and the name of the magazine in blue and on the back cover, a picture of erosion. The magazine is named inappropriately (for humor purposes) as people wouldn't want to read something boring. It is about boring scientific facts, hence the name. Squidward said that it was "fun" (although he might have just said this to get his mind off Mr. Paper.)
Role in the episode
During the episode, Squidward sees SpongeBob having fun with Mr. Paper. He then says that Mr. Paper does seem fun to play with, before covering his mouth, realising what he said. He calls SpongeBob and Mr. Paper "stupid," takes out Boring Science and starts reading it. Squidward then says reading Boring Science is fun. He then reads about erosion and mitosis before hearing SpongeBob laugh.