There are several things you'll need for architecture design documents. Not an easy task but props on taking the opportunity. Since this is such a large question, hopefully these links can get you started and you can refine questions after getting your feet wet.
Methodology
The methodology you use will affect what tasks you take on first. Waterfall is a popular but outdated methodology. A newer methodology is Agile that has several faces. My favorite is Scrum Agile for developing software of any size.
Diagrams
Diagrams are one of the most powerful ways to represent the system as a whole and as individual components. The type of diagrams you create depend on the system. There are usually a Structure Diagrams, Behavior Diagrams, Interaction Diagrams and tons of others. These diagrams show the pieces of the system as a whole, each components physical layout and/or logical layout, communication flow, procedure flow, etc..
Documentation
Documentation is just like it sounds, documents and documents that have Project Descriptions, Scope, User Cases, Sequence Diagrams, and any other document that describes the project or pieces of the project.