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.
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