Yes, it's actually extremely common. Google "SSL Interception", as that's the name of the feature that is advertised on hardware/software that performs this function.
This is why I never browse private web sites on work hardware. You simply do not know how they've mangled the machine, what all it is revealing or to whom. (That's right, most large companies actually outsource security, so all of your private account numbers and passwords are going to third parties that you don't know and never will, third parties who have been indemnified and are completely immune to any kind of action or recourse from you if they screw up.) If I want to browse the web, I use a VPN connection to my house and my own personal laptop. I don't use my work smartphone for Facebook or personal email, I have my own personal phone using my own provider. When I'm working from home and VPNed into the office, I don't use my personal workstation for any work stuff, except as a VirtualBox host for a work VM, which my company has altered through group policy and direct installation of software to be configured how they want.
It's a shame that in today's work environment we have to worry about such things, but if you think the NSA is bad about spying on you, it's small potatoes compared to what your own company does. Never trust your company to just be innocently looking for malware or other intrusion detection means. Never install any software or services on your personal equipment from your company, no matter how much more convenient it will make your life. (This includes, for example, accepting elevated permissions to connect to your work email on your personal phone.) Always assume that they're watching you, looking for anything that can be used to fire you, cancel your severance, or extort whatever they want from you, whether you're just a paean on the low rung of the corporate ladder or the CEO.
I've worked very closely with both the network and security people in a large multinational corporation, and I've seen firsthand the kinds of things they do. It ain't pretty. I've seen people leave because they have moral qualms with the kind of monitoring that goes on, and people screwed because something innocent that everyone does was turned into a major issue. I cannot emphasize this enough; never, ever, ever mix your personal life with your work life, especially when it comes to communications and technology.