Point to Point transfers between two systems by using multiple 10G ports can be used to increase data transfers, but it is a very poorly supported concept, and you're unlikely to do more than give yourself a headache at this point in time trying to configure such a setup. If you're building a super computer with custom software, then you might make more headway in that realm.
However in the "real world" Dual 10G ports are far more useful when you're dealing with multiple clients hitting the same server. Something like a media storage server, or batch processing server, where multiple people on different computers are pulling/pushing to from their own work station kind of thing.
Also keep in mind what networking gear you have and how things are configured. Obviously 10G gear plugged into common consumer level networking gear will drop your expensive 10G stuff back down to normal transfer speeds anyway.
Some dual port 10G NAS boxes will also allow you to do something like connecting one of its ports into a standard speed network, and then use the other port to connect the NAS directly to a 10G port on one computer. Data between the NAS and that computer gets processed over the 10G line, but other systems on the network will be able to access data at 'normal' speeds.
In my experience playing around with 10G gear usually involves a bit of frustrated googling and pouring through documentation, because 'something' will refuse to work properly out of the box, and you end up doing a lot of trouble shooting to track down what is actually causing slower than expected speeds. (Ironic side effect of how robust networking systems are. They won't simply 'fail' and always throw up big and obvious signs of what is wrong, but frequently cause a 'cascade failure', where something isn't working right in one spot, so the next piece of gear drops down in speed as well. Everything just "keeps working" even if it isn't able to work at its best.)
If you want to get into higher speed networks, then do be prepared to either pay to have a networking expert come in to provide advise (and/or set everything up for you) or to do a lot of reading and studying on your own. It isn't hard, but it is fairly complex and has tons of gotchas and issues that can popup.
Sitting down and asking yourself what you really want out of your gear is probably a good place to start. Don't think about what gear you want, but rather focus on what do you want to Do?
Canon EOS 7D | EF 28 f/1.8 | EF 85 f/1.8 | EF 70-200 f/4L | EF-S 17-55 | Sigma 150-500
Flickr: Real-Luckless