It depends on the registration profile they require. If they have you register it as a company owned phone vs a BYOD device.
BYOD registration creates a separate partition on your phones hard drive for the apps installed via the company portal. They cannot see all apps on the device, or any web traffic, sms, phone calls etc. they cannot lock the device or wipe the device in its entirety, only the apps on the company partition.
So in short, it depends on how the IT / Security department setup the device registration, and the registration process will notify you of the access level and allow you to accept / deny.