Depending on the specific institution, it may differ a lot, or very little. Different Faith-based institutions will operate with different student expectations, activities, guidelines, and so on.
Some examples for ways that faith-based institutions may differ from non-faith-based colleges could be a more conservative social scene. Because of Biblical roots in their universities, their code of conduct can be conservative to reflect Biblical principles and behavior. At many faith-based institutions this may mean a dry campus (no alcohol), no parties, a dress code, and an emphasis on treating others with respect and dignity. There may be restrictions on PDA (public displays of affection) and having the opposite gender in one's dorm room.
These sorts of regulations are not uncommon at Faith-based colleges, but the degree to which they are regulated does vary, with some institutions being more conservative and stricter, and others having looser guidelines.
There are many things that are similar about campus life, such as student-led activities, athletics and games to attend, clubs and extracurriculars, and study and hangout spaces that are popular with other students. Every college has a social scene, and while it may not always look the same, there is always opportunity to interact with other students, join activities you're interested in, have fun, and make friends.
For specifics on student expectations, codes of conduct, and how those may affect campus life for students, visit the website or inquire with the admissions department of the faith-based college(s) you are interested in.