Only recently, and even then, only occasionally. Before then, it was always covered up and the priest moved to new crops of victims. I can count on a hand the number of trials that got any coverage. It only went public because of the Boston Globe report.
From Wiki:
Catholic Church sexual abuse cases - Wikipedia
In 2001, the Vatican first required that sex abuse cases be reported to the Rome hierarchy; before that, it left management of the cases to local dioceses.[12] After the 2002 revelation by the
Boston Globe that cases of abuse were widespread in the Church in Massachusetts and elsewhere,
The Dallas Morning News did a year-long investigation.[2] It reported in 2004 that even after these revelations and public outcry, the institutional church had moved allegedly abusive priests out of the countries where they had been accused but assigned them again to "settings that bring them into contact with children, despite church claims to the contrary".[2] Among the investigation's findings was that nearly half of 200 cases "involved clergy who tried to elude law enforcement."[2]
Church authorities are often accused of covering up cases of sex abuse. In many cases, as discussed in the sections on different countries,
clergy discovered by Church authorities to be criminally offending are not reported to civil authorities such as the police. They are often merely moved from one diocese to another, usually without any warning to the authorities or the congregations at the destination.
While offending clergy could be subject to action such as defrocking, this is rare; the intention of the Church until recent times has been to avoid publicity and scandal at all costs.
In some cases offenders may confess their wrongdoing to a priest under the Sacrament of Penance.
Church canon law unconditionally prohibits a priest hearing such a confession from making any disclosure about the existence or content of the confession to anybody, including Church and civil authorities—the "Seal of the Confessional". This obligation is taken very seriously throughout the Catholic Church....
The cases:
In 2003 the Roman Catholic Archdiocese of Boston also settled a large case for
$85 million with 552 alleged victims.[144]
In 2004, the Roman Catholic Diocese of Orange settled nearly
90 cases for $100 million.[145]
In April 2007 the Roman Catholic Archdiocese of Portland in Oregon agreed to a
$75 million settlement with 177 claimants and the Roman Catholic Archdiocese of Seattle agreed to a $48 million settlement with more than 160 victims.[146]
In July 2007 the Roman Catholic Archdiocese of Los Angeles reached a
$660 million agreement with more than 500 alleged victims, in December 2006, the archdiocese had a settlement of
45 lawsuits for $60 million.[122][147]
In September 2007 the Roman Catholic Diocese of San Diego reached a
$198.1 million "agreement with 144 childhood sexual abuse victims."[148]
In July 2008 the Roman Catholic Archdiocese of Denver agreed "to pay
$5.5 million to settle 18 claims of childhood sexual abuse."[149]
The Associated Press estimated that the
total from settlements of sex abuse cases from 1950 to 2007 to be more than $2 billion.[122] According to BishopAccountability reports
that figure reached more than $3 billion in 2012.[53][119]
That's just the tip of the iceberg.