As an example, the boring part in the beginning is the names of ships and tribes enlisted to sail to Troy. What I am thinking while reading these parts is why this list was so important and the sheer complexity of organizing all of it. You are talking about months if not years worth of preparation and yet it's reduced to this almost data-like catalog where you can get the sense that the message is: "We have a lot of friends... and we are coming."
And this isn't to say that you should hold it as Truth. What I am saying is that this work had a profound cultural impact over the course of hundreds of years similar to the The Bible today. It will take work to enjoy it and you should only approach it if reading literature of this kind is of interest to you in general.