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 manually migrate a WordPress site, not using ManageWP.
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We are offering free website migrations for qualifying WordPress websites within the first 30 days after signup. The offer includes the transfer of one WordPress website and the ability to review the site before it goes live.
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