The best thing to do, is to go straight where you want to be. If that means consulting, don't try to get there via two years of technical experience. It's better to start in consulting right away and follow the graduate program.
If that doesn't work and you stay in your more technical role, I would focus on building your soft skills, like leading workshops, giving presentations, client relationship skills...cause these are the typical skills you'll need as a consultant. You will be able to leverage on them when changing after a few years.
Watch out though with the content of your projects: if they're highly technical and it's business consulting you want to get into...the longer you stay where you are, the more difficult it's going to be to make the move!