Not being familiar with your Acer model, I had to look it up. It doesn't appear to function as a pure display, as Babowa mentioned. (A few all-in-ones have been able to perform that trick, including some former models of iMac.)
There are a number of software systems that allow one computer to connect across a network and control another. There are free ones, cheap ones, and heavy-duty expensive ones. How well they work depends on a number of factors, including the speed of your network, the speeds of the computers involved, the software used, and how well you tune it.
Even with such remote control software, you may occasionally need to use a physical screen to set up and change the Mac Mini. If you are buying a recent model Mini and your TV is also failry recent, you may be able to use the TV when you need a physical screen; that could be as simple as connecting the two with an HDMI cable.