Yes, if you get link from other sites to your site, it will be considered as a backlink,
There are many types of backlinks in the web. But the main two is do-follow and the other one is no-follow.
But consider the do-follow more stronger that the nogfollow backlink. But a fewa months ago, google announced that they also considering the no-follow backlink as an indexing source.
The answer that you want to know that, SEO is a slow motion progress. If you do backlinks for your website right now, you will get the result in 1-2 months. And mustly it will be positive if you do the backlink process properly.