As with any college, there will be scholarships offered by a Catholic college that are specific to their values, mission, or, in the case of religious colleges, faith. Catholic colleges will offer scholarships that are specific to their school.
These can be scholarships that are faith-based, which are typically rewarded to students who are actively involved in the Catholic church. They can also be given to students who intend to study theology or plan to go into a career in ministry/the Church. Typically, a recommendation from someone in the Catholic church or a church leader is required for a student to be considered for these scholarships.
Service and leadership scholarships are also common amongst Catholic colleges, as service is an emphasized trait in the Catholic church. Students with lots of experience in community service or leadership positions, especially in ministry or church settings are the target audience for this scholarship. Proof of service, references, and possibly recommendations may be required of students applying for these scholarships.
Legacy scholarships are not necessarily specific to Catholic colleges, but they are specific to the students whose parents or family members went to the college before them. Legacy scholarships offer discounts for students who have family members who attended the same college before them. They build a sense of loyalty between families and that college. This is only specific to Catholic colleges if a student's family member attended that college before them.
Again, each Catholic college may have its own "special scholarships" based on their specific mission and values, but these are some of the more common ones that are specific to Catholic colleges in general. Aside from these, Catholic colleges, like most other colleges, will offer scholarships for things like merit, extracurriculars, athletics, and more. To find out more specifics on what kind of scholarships a Catholic college offers, check the college's website or with their admissions or financial aid department.