TCP and UDP are two different things. TCP makes sure that data is sent, and it guarantees delivery. However, UDP does not offer this feature. Because they are different and data is received differently, two ServerSockets must be set up. One to handle TCP connections, and the other to handle UDP connections.
My advice is not to use UDP when sending important information, for it's unreliable and DOES NOT guarantee the delivery of the data you wish to send. However, if it is absolutely necessary to use both TCP and UDP protocols, then I suggest multithreading the server, so that it listens for both types of connections, and accepts them both.
Note: Have you noticed that websites can start with http:// and https:// ? The destination is the same, but the type of data sent is different, and a different port number is used (80 for http, and 443 for https). This is just a quick explanation as to why you'll need the server to host on two different ports.