Your "internet privacy" is protected just fine as long as you don't use the company's network, e-mail, and laptop. And as long as you don't go sharing all your things to everybody (twitter, f-book).
In a number of countries, companies don't have full rights to snoop on employees' network communications, even at work. In Denmark, I believe email is considered quasi-private. A boss can read an employee's mail, but must go through a process where the reason they need to do so is formally documented.
"Now, courts are increasingly taking into account whether employers have explicitly described how email is monitored to their employees.
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Yes this is why all contracts have been updated. It's in most new contracts. (The 'fine print'). Best thing to do is not use the company e-mail privately (if you value your privacy that is).