So, you are saying that i can use a Server to serve the requests that arrive and i need to make some GET to a specific URL i can still use that same server?
Yes. The Arduino-as-server's focus, when a client connects, needs to be to answer that client's request. When the server has no client requests to deal with, it can initiate GET requests of it's own.
It's a little unusual, and you need to be careful doing it, but it can be done.