Last outage here was about a day and a half. My smartphone came in handy. Both to generally keep up with what's going on (ie- normal usage), but also because I realized I could install the apps from the local news stations, and watch their live video streams, to watch the news. We lost our cable TV service. I could have also listened to the radio, of course
Our internet stayed up, however. We have DSL, and the generator had our modem and router running, so I had internet access without burning through a limited amount of cellular data.
I think the phone signal is more resilient during an outage, vs the cable signal. Even with the generator powering the necessary equipment in the house, our cable TV service went down. I assume because the cable provider's equipment getting the signal to the house lost power.
If you're close enough, yes, you can definitely use an antenna to get digital broadcast HD TV, for free. This is one resource for looking up where TV stations near you have their broadcast antennas, to get a sense of how practical it would be to get antenna reception (also know as OTA TV):
For extended outages, being able to do this stuff without tearing through your gas supply becomes more of an issue. I have a small 2000W inverter generator, so the gas usage scales pretty well based on the load (up to 10 hours on a gallon, based on a small 400W load). So I don't feel bad running it to power just a few lights, the internet and TV, etc.