I'm not sure if the Conan rules include a monk (or monk-type class), but they should. REH's Conan stories certainly did.
I'm not familiar with a REH story that features a monk.
The Conan RPG core classes feature four (d10 HD) warrior classes: Barbarian (of course!), Borderer (Conan's answer to a Ranger), Soldier, and Nomad.
Then there are three non-warrior (d8 HD) classes: Noble (because of his expensive training, otherwise he'd be a civilian class), Pirate, and Thief.
And, there are two civilian (d6 HD) classes: Scholar and Temptress (who uses her sex to maniuplate men and get what she wants).
But, each class can be widely different among other same classed characters depending on race and environment. For example, a Cimmerian Barbarian is different from the savage Pict Barbarians, and both of those are different from the Barbarians you'll find in The Black Kingdoms.
Also, the Conan RPG is keen on multi-classing to customize characters. From the core classes, almost any type of character imaginable can be made. For example...
Scout = Barbarian/Borderer
Shaman = Barbarian/Scholar
Emissary = Borderer/Noble
Explorer = Borderer/Pirate
Guide = Borderer/Scholar
Outlaw = Borderer/Thief
Corsair = Pirate/Barbarian
Treasure Hunter = Pirate/Borderer
Sea Captain = Pirate/Noble
Privateer = Pirate/Soldier
Smuggler = Pirate/Thief
Gypsy = Temptress/Nomad
Bounty Hunter = Thief/Borderer
Crime Lord = Thief/Noble
Knight = Noble/Soldier
Druid = Scholar/Borderer
Cult Leader = Scholar/Noble
Navigator = Scholar/Pirate
Occultist = Scholar/Thief
Archer = Soldier/Borderer
Assassin = Soldier/Thief
You get the idea. The possibilities are endless.
Also, in the Conan game, class sometimes has little to do the character's profession. Conan was a master thief, but he was never higher than a 1st level Thief.
In the Conan game, if you steal, you're a thief. It doesn't matter what class your character is. If you walk into a thieve's guild in this game, you might find the two ruffians at the door are Soldier/Thief types. The story-teller from the town square who makes his extra money pick-pocketing his listeners can be a Scholar class. The Cimmerian Barbarian who specializes as a "second story man", using his Climb skill, doesn't have a level in the Thief class. And the Soldier who goes around town shaking down the merchants may all be in the thieves guild but not have any character level in the actual Thief class.
The same goes for sorcery in this game. And, for priests and clerics. The Pirate who steps off the boat and is worshipped by the island natives can be a cleric. The Noble who uses his charm and personal presence to grow a cult around him is a Cult leader. Any character can pick up knowledge of the dark arts and become a sorcerer, if he can read the old languages.
So, when you run into a cult leader in this game, you can't count on him being classed as a "cleric" (since there is no cleric class in this game...unless you multiclass one with something like Scholar/Soldier). The guy could be a the Noble, above, who grew the cult around him; a Soldier who leads a horde of fanatics; a Thief who secretly assassinated the previous cult leader; the afore mentioned Pirate who is worshipped by the island natives....a number of things.
It's a very versatile game that breaks free from many of the restrictions of vanilla D&D. (That's not a put-down on D&D. I love that game. It's just fact given the way the Conan RPG rules are written.)