Wouldn't surprise me if a standard 12V brick with a typical jack end didn't work. You just want to be more than 1A, because a 500mA brick will charge it pathetically slowly.
Oh, so it charges from the lighter of the car? Just put "12V cigarette charger" into fleabay, and make sure it has 1A (1000mA), or get this one from Maplins:
They're the same thing as in-car TV power supplies, portable gaming power supplies, that sort of thing, nothing special about them, so you should be able to find one for cheaper than the Maplin price if you shop around.
Do you mean to charge it from the mains? Just clip the jump leads on it to your battery charger leads and switch the charger on. It has a 12v gel battery inside.
Basically, it should have a little jack socket on it, like this:
Then you can buy either the wall charger that I linked to first, or the cigarette lighter thing that I linked to second, and plug it in there. But when you use it on the car battery, it won't charge itself from the engine running; it should have circuitry inside to stop it doing that. The cigarette socket on the front is so that you can power OTHER stuff (like mobile phone chargers) with it, when you're away from your car.
However, you CAN use it to trickle-charge a car battery by, as pedrobedro said, plugging the booster into a wall while it's connected to the car battery.
It's a nice bit of kit, but they're fundamentally simple things. I'm surprised you got it for free.
These things contain, as someone else said, a 12V "brick" or sealed lead acid battery and don't take kindly to being allowed to go flat. If it's discharged, you may find you have to add the cost of a new sealed lead acid battery to your shopping list.
These "boosters" typically contain a 12v 17AH sealed lead acid ( SLA ) battery. If the battery voltage drops below 8 volts it is usually no longer chargeable. This type of battery can be charged for a short period from an ordinary car battery charger, but the voltage and current is really too high for a sealed battery, leading to gassing and a risk of explosion.