It's kind of hard to explain over the net and without the book in front of me but let's try.
First of all you should have the Common section, which is split into four weeks (numbered psalm weeks 1 to 4 and which correspond to the modern Roman calender), which you will cycle through for the whole year. This is the basic, unchanging part of the office which shouldn't change. This will be the
>introductory prayer
>possibly a proper hymn
>the psalms of the day
>a short reading and responsory
>the Benedictus in the morning, and the Magnificat in the evening
>possibly some prayers or intercessions (I don't know if your volume does this)
>the concluding prayer
You should then have the Proper of the Seasons section, which should have proper rubrics for Easter, Advent, Ordinary Time etc. which contains antiphons, readings, hyms etc, which you fit into the Common section. So, for advent, a proper festal hymn will be recited in place of the "Ordinary" hymn of the day.
In addition to this, you should also have a Proper of the Saints section, which you will use to swap out some of the seasonal rubrics and replace it with the saint of the day. Not all of the saints are obligatory for some reason, but will just have a commemoration, which means that everythin for a Tuesday should be just the same, but that the concluding prayer will ask for the saint's intercession.
I don't know about your volume particularly, but you might also have an Office of the Dead, too, which works along the same basis.
There is a lot of back and forth in the Divine Office, but you will quickly get used to it as you familiarise yourself with it.
tl;dr - use Universalis, and if what you have in your hands matches what is on this site, you are on the right track.
http://www.universalis.com/index.htm
I don't really like the new office as I think it complicates daily prayer too much, so I stick with the Roman Breviary which is much simpler, but I hope that this helps somewhat