Ed Meese is excellent today on that law in the New York Times. He explains that in 1986:

…the legislation stipulated several conditions: immigrants had to pay application fees, learn to speak English, understand American civics, pass a medical exam and register for military selective service. Those with convictions for a felony or three misdemeanors were ineligible. Sound familiar? These are pretty much the same provisions included in the new Senate proposal and cited by its supporters as proof that they have eschewed amnesty in favor of earned citizenship.
The difference is that President Reagan called this what it was: amnesty. Indeed, look up the term “amnesty” in Black’s Law Dictionary, and you’ll find it says, “the 1986 Immigration Reform and Control Act provided amnesty for undocumented aliens already in the country.”
Like the amnesty bill of 1986, the current Senate proposal would place those who have resided illegally in the United States on a path to citizenship, provided they meet a similar set of conditions and pay a fine and back taxes. The illegal immigrant does not go to the back of the line but gets immediate legalized status, while law-abiding applicants wait in their home countries for years to even get here. And that’s the line that counts. In the end, slight differences in process do not change the overriding fact that the 1986 law and today’s bill are both amnesties…