Alright, now we're getting somewhere.
You didn't answer, are you running a dedicated server? (hlds.exe), or a listen ("Create Game" option from Gmod menu)
Also, just to verify, you aren't running Garry's mod 9 or less, right?
Sounds like you used the ULX installer.
The installer file path will almost always match the readme path so isn't necessarily a good check.
Problem is, the installer can't always tell where your local game path is, and almost never will tell if you're running a dedicated server/
So, your challenge is to find out if where it installed is actually your 'server' path.
And if not, move the ULib and ULX folders under \addons to the proper server addons location.
When starting your server, you should definitely see, unless there are errors, loading in it's console.
Will look like the below (you may see diff files, or errors that would help us help you)
///////////////////////////////
// Ulysses Library //
///////////////////////////////
// Loading... //
// shared/defines.lua //
// server/hook.lua //
// server/gamemode_hooks.lua//
// shared/misc.lua //
// shared/util.lua //
// shared/table.lua //
// shared/player.lua //
// server/player.lua //
// shared/messages.lua //
// shared/concommand.lua //
// server/concommand.lua //
// server/util.lua //
// shared/sh_ucl.lua //
// server/ucl.lua //
// server/phys.lua //
// server/player_ext.lua //
// server/entity_ext.lua //
// Load Complete! //
///////////////////////////////
[ULIB] Loading SHARED module: ulx_init.lua
///////////////////////////////
// ULX Admin Mod //
///////////////////////////////
// Loading... //
// sh_defines.lua //
// lib.lua //
// base.lua //
// log.lua //
// MODULE: chat.lua //
// MODULE: fun.lua //
// MODULE: menus.lua //
// MODULE: rcon.lua //
// MODULE: slots.lua //
// MODULE: teleport.lua //
// MODULE: toolmode.lua //
// MODULE: user.lua //
// MODULE: util.lua //
// MODULE: vote.lua //
// MODULE: votemap.lua //
// MODULE: userhelp.lua //
// end.lua //
// Load Complete! //
///////////////////////////////
