Group projects will be expected to be larger in scale than independent projects. Other than the scale of the project all other deliverables remain the same. If you are seriously considering working professionally as part of a design group, you should make sure that you can get along with co-designers all of whom will have different conceptual backgrounds and work styles. Teams can get into all sorts of dysfunctional situations. If I am asked to referee or intervene my suggestion will be to work alone and dissolve the group.
Team based projects tend to be better than independent projects.
The most common problem in student teams is students who don't do their share of the work or conversely, students who dominate the project and won't allow others to contribute. The point is that you each have something to give to the project and your expertise could be needed at different phases of the project. Just a reminder today's complex web sites require an interdisciplinary team to design, create, implement and manage them. In the early days of the web, web sites were often designed, built, and managed by a single individual through sheer force of will. This webmaster was responsible for assembling and organizing the content, designing the graphics, and hacking together any necessary scripts.