Current carbon capture tech charges about $500/ton (but this number is bound to get lower) of CO2, given the CO2 produced per KWh of Natural gas is 0.41kg/KWh, that adds about $0.20 per KWh to your electricity bill. Where I’m from, our mostly natural gas electric company charges $0.10/kwh. So adding $0.20 does indeed do more than double it (for now).
[1] https://www.eia.gov/tools/faqs/faq.php?id=74&t=11