If i jailbreak my iphone 4s, does it unlock it to be use on any GSM carrier?

I want to know if I jail break my apple iphone 4s iOS 6.0.1, if that will allow me to use a sim card in it on a GSM network

What do you got to lose?

While jailbreaking lets you use any programs you want to on the iPhone, unlocking is an additional process performed on already jailbroken iPhones. Unlocking is removing the restriction put in place by Apple or your cell phone service provider (AT&T), that limits the iPhone to operating only on their particular network. You can roam, but at greatly increased rates of service. When you unlock an AT&T iPhone, it allows it to operate on any network in the world that uses the GSM standard (the most widely adopted cellular phone standard on the planet). You simply remove one SIM card, and insert the SIM card of the network you want to use, and the iPhone will accept it. Note: as of June 14, 2011, Apple sells the iPhone 4 unlocked at a premium price. It may be worth it to purchase an iPhone this way, as it will eliminate a lot of headaches for you if you need an unlocked iPhone.

Jailbreaking won't unlock your iPhone 4S from network restriction. Jailbreaking just removes the enforcements imposed on your iOS by Apple so that third party applications can be installed.
To use any GSM network on your iPhone 4S, You need to unlock it separately. One of the safest and easiest method to unlock an iPhone 4S is to unlock using remote unlocking service. You can get the remote unlocking service for your iPhone 4S from http://www.theunlockarena.com/apple-iphone-4s/rs16wp9/ at affordable cost with free unlocking instructions. Good luck mate.
Note: Only GSM network locked iPhone can be unlocked to use any other GSM network with it.

Yes as long as your original iPhone is a GSM phone