I live in the U.S. and yes, the Xbox One will pause live tv.
I have a Winegard outdoor antenna hooked up to the Xbox One antenna adapter, and I have had this setup for about 2 years now.
I can pause live tv that I get over the antenna, and it let me pause for 30 minutes. You can also fast forward and rewind during the 30 minutes of recorded video. It is NOT a DVR, so you can't keep the recordings, but it will pause, rewind, and fast forward during that period, which is very nice for watching live sports over-the-air.
While antenna and adapter cost a bit up front, I have found this to be the cheapest way to view live sports and local channels without a cable subscription.
At one time Microsoft had promised full DVR features and extended recording time, but I have not heard any news on those in a while.