Creating A Student Information System

I am planning in creating a student information system where multiple computers can access the same server through LAN connection. The server will have a database about the students information. I pretty much have a background in creating a program similar to this but i was only able to make it for 1 computer. I don't know how to connect that database to another computer. Like for instance:

Teacher A uses Computer 1 to access the Student Information System and Teacher B uses Computer 2 to access it as well. Any modification done by Teacher A will be updated to the database and it will be seen as well for Teacher B.

And my other concern is whether I should make it web-based or not. I only have an experience with using WPF Application for this kind of system but someone told me that its easier if i used a web-based instead in this kind of networking idea. Can you tell me the advantages and disadvantages of using a web-based and its counterpart.

to summarize:

• How can I connect multiple computers to access a single database system.
• Which is better to use if its web-based application or desktop application.

Much appreciated.