Ok, It looks like you have a small switch in the upper right hand side that controls the fan and another switch below it for changing from HEAT to COOL. If the unit is wired correctly, then your compressor should shut off when the proper temp is attained but your fan can either be set to stay on continuously or go off a few moments after the compressor shuts off. That's called "AUTO". These switches should be small slide switches and go either "up" or "down" and there should be a change in the indicated display.
This model thermostat also has a schedule that needs to be set for times of day and temp settings. You'll need to go through the whole week's menu to set all of the temps and times to your liking. There's also a "MANUAL" override switch so you can bypass the scheduler portion and set temp manually.

One thing to keep in mind is that some thermostats have a 9 volt or disk battery backup in case there's a power failure, This type will retain your settings even when power is out. The other kind runs on the 18 volt transformer in your air handler and they lose all of their setting after a few minutes of power failure and need to be completely reset from scratch every time household AC power is out.

Carrier doesn't make their own thermostats and it's probably a Honeywell unit but Carrier put it's name on the front.

However, if your outside compressor never shuts off, then they have wired the thermostat wrong. You might get the wiring diagram from the Carrier website on the internet or go to your local Hd or LOWE's and ask about wiring diagrams for your thermostat. They come in the box and they should be able to make a photocopy of it for you...or call the home owner and tell him to get the thermostat wired correctly. Running the compressor continuously will drive your electric bill sky high.

If it's just the fan circulating air continuously, this is your choice and the fan switch placed in AUTO will solve your problem. I can't tell if your circulating fan has multiple speeds from this photo but most mid range units only have a single speed.

We can't tell what settings are scheduled at what temps from this photo and probably going through the scheduling menu and temp settings for times of day as well as day of the week ARE REQUIRED. This is all explained in the user instructions that should have been given to you by the installer. If not, you can get the programming instructions from the CARRIER WEBSITE or a local HD or LOWE's.

For this weekend anyway, you should be able to bypass the scheduling program and place the thermostat into "MANUAL OVERRIDE MODE" and set the temp you want as well as the choices for fan control. That switch for override, should be located on the left side of the thermostat and it's also a small slider switch.

CORRECTION:
The switches are all push buttons and toggle the settings. There's also a "HOLD" button that should allow you to set the temp you want. This will bypass the scheduling program.

As was stated earlier in this thread, the setting your looking for is most likely on your thermostat. There is a setting for "Fan" on the stat. Most newer ones have 3 settings on,auto and circ. The newer systems to maintain an equil temp threw the house will run the fan all the time to circulate the tempered air all the time. This can be changed by setting the fan to auto. When in auto the fan will cycle on and off with the compressor. Now if you have the circ mode that is like a combination of both. It will cycle on and off but will come on once and a while to circulate the air. Hope this helps!