CenturyLink Internet: Fast Speeds, Contract-Free Prices. With CenturyLink internet, get the power of pure broadband internet and enjoy a dedicated connection. If CenturyLink is available in your area, you may qualify for speeds of up to 20, 80, or 100 Mbps. Basic internet plans start at just $45.00/mo , a rate that won’t change as long as you stay on the same plan. 1 Gig fiber-optic internet is available in select cities across the United States.