Forum Moderators: open
If you live in the UK, lots of people will give you broadband for free, Sky, Orange, Carphone Warehouse for example.
If you don't have a computer, you can go to AOL, for 20 quid per month they'll give you broadband, wireless router so you can access it, and a free laptop too. Must have a BT line.
Although I would advise switching to a free provider as soon as the minimum contract is up.
Then use a simple "pay-as-you-go" dial-up plan - avoid anything which requires a monthly contract, and avoid AOL or anything else where you have to install specific software to make things work. Make sure you set up their email elsewhere than with their ISP, so there's no tie-in - Gmail will do just fine.
Then find the cheapest, low-cost internet provider in your area, which is based on usage of the line as in 1$/gb or whatever is available. Sign up - but read the terms and notice fees and such first though. (calculator is a good investment)
Or, if any of your neighbors have a wireless network, invite them for coffee and discuss the option of you getting access to their network, and make a not-for-profit-but-for-coffee deal with them in whatever devious way you can think of...
Sincerely, and have fun