What is “Catholic” health care?
In short, Catholic health care providers see their work as an extension of the healing ministry of Jesus Christ and the Catholic Church.  A statement from the National Conference of Catholic Bishops explains more fully:

"The Catholic Church is involved in health care because it believes that care of the sick is an important part of Christ's mandate of service. The Gospel accounts of Jesus' ministry chronicle his acts of healing...

Since the principal work of Christ was our redemption from sin and death, the healing that he brought us went beyond caring only for physical afflictions. His compassion for the poor, the sick and the needy fit within his larger mission of redemption and salvation. Christ touched people at the deepest level of their being. As the source of physical, mental and spiritual healing and well-being, he described his work as bringing life in abundance.

Christians see care for the sick and maintenance of health within the context of Christ's example. Hence, to understand the significant role of the Catholic Church in health care throughout the centuries, one needs to look at the faith of those who have attempted to imitate the love, compassion and healing of Jesus.

It is nothing less than Christian love that animates health care within the Church. The work of healing and the acts of compassion that envelop it are seen as a continuation of Christ's mission that is enabled by his life-giving grace."

(The Pastoral Role of the Diocesan Bishop in Catholic Health Care Ministry: A statement of the Administrative Committee of the National Conference of Catholic Bishops, March, 1997, pp. 1-2)