The short answer? Yes. And no.
Currently, the Computer Adaptive Test changes based on how you do on each question. If you answer a question correctly, then typically (though by no means always) the test spits out a more difficult question. Another idiosyncrasy of the CAT landscape is the test is weighted: the first five questions count for a lot more than the last five questions, with the questions in the middle (10-15) having an importance somewhere in the middle.
On the new GRE, there will be no adaptation within the section (if you are not taking the current GRE discount the information above). The test will adapt between sections. So, if you do well on your first math section, then you will get a more difficult section. If you do not do so well, then you will get an easier section. Exactly how many problems a test-taker must answer correctly to move on to the more difficult section is unknown.
Within the new sections there will still be order of difficulty, i.e. the higher the number in the section, the more difficult the question is likely to be.
The takeaway from all this? Well, on the Revised GRE there will be less reason to try and game the system. Do your best, and if you end up getting a section that doesn’t seem difficult, don’t despair. Doing well on an easier section can still help you out. Just how much? Well, these are the questions we’ll only be able to answer once those first intrepid souls take the test in August.