Since Blogger (blogspot) isn't an actual hosting company, there's no real way to transfer the site from Blogger to your account with us directly.
However, Blogger has a feature which will allow you to export your site content to a more universal format.
They have a FAQ entry on how to accomplish it here.
WordPress does support importing directly from your blogger account:
Simply install WordPress from MOJO Marketplace in your cPanel.
Then in your WordPress Admin area (example.com/wp-admin), go to Manage → Import → Blogger and follow the directions to complete the import.
Recommended Help Content
How to Migrate a self hosted copy of WordPress (updated 30 days ago)
How to manually migrate a WordPress site, not using ManageWP. (updated 223 days ago)
How to move WordPress from one folder to another folder on the same server. (updated 545 days ago)
Related Help Content
If you have a WordPress blog hosted on wordpress.com, you can easily export it and import it to WordPress that is installed on your hosting account with hostmonster. Login to the WordPress D (updated 148 days ago)
I am trying to transfer a domain(s) from my current registrar to hostmonster. When I fill out the transfer form I cannot get beyond step 2/4. There does not seem to be any "submit" or "next" (updated 2166 days ago)
This article will explain how to login to a WordPress site using WordPress tools. (updated 30 days ago)
This article will explain how to change the Site URL or Home URL setting in WordPress. This may be useful if you have moved your WordPress site or are planning to move your WordPress site. (updated 37 days ago)
Learn how to use WordPress, WordPress started as just a blogging system, but has evolved to be used as full content management system and so much more through the thousands of plugins, widgets, and themes now available. (updated 127 days ago)
This article will show you how to access your WordPress site. (updated 142 days ago)
ISNIC is giving me the following error about my domain: Unable to transfer zone DOMAIN.IS from ns1.HostMonster.com (18.104.22.168) Unable to transfer zone DOMAIN.IS from ns2. (updated 1353 days ago)
Why does a domain transfer fail and what can you do about it. (updated 623 days ago)