From the report
The Christian Institute, a "non-denominational Christian charity", wanted to pay Google so that whenever the word "abortion" was typed into the popular search engine, its link would appear on the side of the screen.
The link would have read: "UK abortion law - news and views on abortion from the Christian Institute. www.christian.org.uk."
The Christian Institute is currently mounting legal action against Google over this policy.
There are alternative search engines you can use if you don't like Google's policy, such as Yahoo.
The Christian Institute website that Google won't advertise is here. The look like a mighty fine organization, and I notice that at the top of their links page is a link to Reform (who really could do with a website tidy-up) and an excellent Spurgeon website.