Can do?
GTD is a task-management framework that lets you handle not only your intensely focused main work but also the small chores of everyday life, all in one place.
Most task-management systems ask you to plan your work top-down. They tell you to set a grand vision, then create work by laying out the goals and detailed plans needed to achieve it. But a great deal of the work we do doesn't come top-down. It often arises suddenly, bottom-up. Think of an unexpected problem at the office, or a household chore that suddenly turns urgent.
GTD is the best-known task-management framework that can handle even this kind of unexpected, bottom-up work. It's also old, which means it has been well tested. And there are very few frameworks that can manage work as comprehensively as GTD does.
GTD is hard to master in a short time, and like driving, it takes steady practice. Still, there are quite a few philosophies and skills you can apply easily and benefit from quickly. If GTD lets you do the same work with less stress, that will help enormously with all the work you have ahead of you.
If you want to learn GTD in detail, you can read 
the GTD book. The book isn't exactly friendly, though, so it's easy to get lost. I think it helps to watch the following video first to get the overall picture, and then read the book.
Is GTD Really Good?
GTD looks complicated at first, but it's really good.
I use GTD well in everything from daily life to my job.
If it feels hard to use or like a hassle, just take the parts that work for you.
For its effects, see The Effects of GTD.