CathInfo.com

"The form of worship that they utilize is the Ordinary Form of the Mass as well as the Liturgy of the Hours. Where you get the idea that these are "Pentecostal" or "Protestant" is beyond me (unless of course you're calling the Ordinary Form itself into question). "

well, this guy is not even close to understanding the grave faults of the NO....apparently, he does not have Pentecostals in Canada or even really understands what it is about....

reminds me of arguing, in vain, with a fellow that would accept much of what Stevus aopponent would say, their minds are closed in connecting the dots to the subversion before and esp, at VII and afterwards....like Bishop Williamson has stated, some people do not have the capacity for reasoning....they get to a point nad cannot go further....he has stated "you cannot talk to a person unhinged, you cannot open or swing a door that is laying on the floor..their minds are unhinged"

Apparently St. Pius X is a fan as well...

I am looking at the back of my St. Pius X holy card.
St. Pius X "inaugurated liturgical renewal and the restoration of frequent Communion from childhood...His overriding concern was to renew all things in Christ."

Each of us, regardless of where we are in our walk with Christ is called to holiness, to continued conversion. Rather than look at the Renewal as a movement, look instead at how the charisms, presuming they are real, might help your own walk with Christ.
It is not merely the past four popes who have given their blessing to the Charismatic Renewal, but the bishops as well who have given their ascent to the authenticity of the gifts, these special graces which come from God.
The OP asked the question, "What is the Charismatic Renewal?" I have limited my responses to the magisterial teaching of the Church as laid out in the Catechism of the Catholic Church as well as my own experience.
One of the most common songs during a Charismatic prayer meeting is "Seek first the Kingdom of God."
St. Pius X gave "great impetus to biblical studies and the codification of Canon Law." "From St. Pius X we learn again that 'the folly of the cross,' simplicity of life, and humility of heart are still the highest wisdom and the indispensable conditions of a perfect Christian life, for they are the very source of all apostolic fruitfulness."
In light of the teachings of St. Pius X, I second the challenge laid out in "One Bread, One Body" to read the entire NT during this Easter Season. See what scripture itself says about the charisms.

I did not seek membership in a particular movement. As already stated, I would not return the gifts I have received even if I could. I knew full well the objections I would face when I accepted these gifts, the main reason I immediately made an appointment with my pastor to describe my experience. Receipt of the gifts did not change the outcome of the crisis I faced. Knowledge of God dwelling within my heart and being with me during every moment of my life gave me a Peace I would not otherwise have experienced during a very trying time. He gave me the strength to forgive, to move forward along the path He had chosen for my life.