If you don't want to use our default homepage, you can always switch to any other page directly from WordPress Reading Settings.

Simply go to Settings > Reading Settings and you will see the section where it says "A static page"



After you save your settings your home page will now be changed to whatever you have selected from the static page menu.

Now here's the thing; since our default home page does not use any background color, nor an image you will need to go go to your style.css and make one small change. In Appearance > Theme Options > Custom CSS Styles add this in:

.home #wrapper {
    -webkit-border-radius: 6px;
    -moz-border-radius: 6px;
    background-color:#fff;
    border:1px solid #d6d6d6;
    border-radius: 6px;
    clear:both;
    margin: 20px auto 20px auto;
    padding: 0 20px 20px 20px;
    position:relative;
}

.home #widgets {
    margin-top:40px;
}

Save it and you're all set. Now we have a different homepage and the background "fix" to look like all other pages of your WordPress site.

If you want to use Responsive as the standard "Blog" site, all you need to do is to create a page and use one of the two available Templates called "Blog Excerpt (summary)" or "Blog (full posts)".



The very last step for this would be to navigate your Reading Settings to Blog like this:




Blog Summary Example:
http://themeid.com/demo/responsive/page-templates/blog-summary/

Blog Full Posts Example:
http://themeid.com/demo/responsive/page-templates/blog/

If you want to do this in Child Theme please so see: http://themeid.com/forum/topic/505/child-theme-example/

[h]Please Note:[/h]

Front page - Select in the drop-down box the actual Page that you want displayed as your front page. If you do not select a choice here, then effectively your blog will show your posts on both the blog's front page and on the Posts page you specify. If you would like to create a static home page template file, do not name it home.php, otherwise you will encounter problems when you try to view the "blog"/"posts" section of your site. To get around this, just name it anything but home.php, for example, myhome.php

Posts page - Select in the drop-down box the name of the Page that will now contain your Posts. If you do not select a Page here, your Posts will only be accessible via other navigation features such as category, calendar, or archive links. Even if the selected Page is Password protected, visitors will NOT be prompted for a password when viewing the Posts Page. Also, any Template assigned the Page will be ignored and the theme's index.php (or home.php if it exists) will control the display of the posts.

UPDATE:

If you're looking to keep default layout and add the blog section on same page, you can do that too.
Here's the demo: http://themeid.com/demo/responsive-blogger and you can download the Child Theme from here: http://themeid.com/public/responsive-blogger.zip

Simply upload to your WordPress Themes and activate.