To get only google backlinks you have to submit your url to google and promote your site to only do-follow blogs, forums and article directories.
Ensure quality backlinks and thematically is a really good website promotion. If u get more relevant links, which is regarded as the quality of waste sites not only in quantity.
If you get more links from education sites. You can increase your links in the google. Google likes to visit education sites regularly. If you have as many links from those sites, you can get the back links from google.
you can promote site on you facebook and other social networking site account.... This way you will get enough traffic
On relevant websites, blogs and directories you should leave your links. where google will give it a weight age this is the correct way to increase backlinks for google search engine. Other Search Engines also follow the same techniques.
google for "inurl:.edu wp-signup.php" create some blogs.. that was one of the foot print. you are are serious you will find other yourself.
Try to submit as many articles as possible in article directories of different kind. Try to buy more forum signatures and also submit your website to few Directories...