Let's explain few things to the poor guy.
FileZilla is two things, best known of the two is the client.
So, how FTP works?
You start an FTP server. It's like normal http server, you know the ones that give you
http://blackhatworld.com and such.
For FTP you would have ftp://example.com
Because you don't need it public, you don't need a domain name, an IP address it's enough, so things are simple.
In order to start an FTP server, you need a program. FileZilla Server would be a good option. You start it, then put the files in there.
Keep your computer open and connected to internet.
The other guy should download FileZilla client and connect to your server in order to download the files.
You have to give him the address to your server, it's in your program. You don't need the client, except maybe for testing.
That's the simple version. For detailed guides there are plenty tutorials online on YouTube and Google.
