John, I recently did a similar upgrade. EasyBlog for installed on 2.5 works great on an upgraded Joomla to Joomla 3. So you are safe to upgrade.

A quick tip. Do check all your plugins and modules for compatibility too. I forgot to upgrade a plugin, and it gave me a little scare as the upgrade was greeted with a blank page.

In the rare event that you have a plugin or module that is causing problems after upgrade, you can enable error reporting by opening configuration.php and replacing:

public $error_reporting = 'none';
with
public $error_reporting = 'maximum';

Once you identify what component, module or plugin is causing errors, you can manually delete those files in your FTP. Then install the joomla 3 compatible version or alternative in the backend.

Also, it goes without saying, but make sure to do a backup first. Akeeba Backup is great for that.