How to get free domain name. and apps for website or blog?

Nobody gives you free if it free means you cant get the complete features of it here i suggest one site which is reliable in domain purchase http://www.xnynz.com/xyz/search/ try it

you can sign up at blogger and word press to create blog..

I can see you're new at this, I'm not, nothing is really free in website building and hosting. (except for site software and related software) You can get a free domain name, but only with paid website hosting, but the sites that will give it to you are not the first choice for hosting, for various reasons. (they use the free domain names for bait) There is also a very big question as to if they retain the ownership to the name, but let you use it, if you let your hosting service lapse, or move it, they could own your domain name after you turned it into a marketable item. As far as site software goes, know if you want a blog, or an interactive forum site. Wordpress for blogs, SMF (Simple Machines Forum) for sophisticated forum based sites. Both are free, but expect to ask for help loading and building the sites. You also neglected to take into account how important the webhosting company can be to a newbie at uploading the site software into the internet, and making it a reality, as well as fixing your mistakes. Best deal, best service? Go Daddy, trust me, I know.

you can get the top level domain from the the http://www.dot.tk ,it is free