Your Missal is for the Tridentine Mass (i.e., the Extraordinary Form of the Mass).
Here’s what I recommend to get the most out of it:
Spend a few Saturdays going through the educational reading at the beginning. There’s a lot in there. Read through the preparatory prayers and prayers of thanksgiving for after Mass. Also study the explanatory notes that accompany the order of the Mass – that is, what is going on when the priest does such-n-such, or what is the significance of certain words or procedures. This is particularly helpful for Latin Masses, at which you may not hear all the words when the priest is speaking softly.
Familiarize yourself with the Missal’s layout. You don’t want to be fumbling through it during Mass. Also, get used to marking your pages. Which color ribbon you use doesn’t really matter, but figure out a system for yourself. (Personally, I mark the order of the Mass with the red ribbon and the specific readings for that day with the purple ribbon.)
Each Missal has a liturgical calendar at the beginning. It is helpful to familiarize yourself with that so you can figure out where you are in the cycle of liturgical readings. A table of moveable feasts is also provided. If this is difficult for you, you could use a regular wall or desk calendar. Most parishes make available typical calendars that accompany the cycle for the Novus Ordo Masses (i.e., the Ordinary Form of the Mass). For the Tridentine calendar, you can order a calendar from Halo-Works.com. (This is the calendar that would work in conjunction with use of the 1962 Missal for Latin Masses, i.e., the Extraordinary Form of the Mass.)
Perhaps most importantly, many people find it helpful to study the readings for each day prior to Mass. You might choose just to read through them once, or to study them using a study Bible. (The Douay-Rheims Bible works best in concert with the 1962 Missal, although any study Bible will work.) Many Catholics choose to use them as sources for lectio divina and contemplative prayer. In this fashion, you may glean more from the readings when you hear them again at Mass.