"Make" in the phrase "make and model" refers to the manufacturer of the vehicle - the maker. An actual definition for the word make is a brand of something such as an appliance, car, or machine.
There are makes of guns, typewriters, sewing machines, refrigerators and so on as well. The company that makes the items then places their brand name on the vehicle, equipment, gun, etc. So with a vehicle the maker is the company (brand) that fabricates the vehicle so can be Chevrolet, Ford, Dodge, Toyota, Honda, and so on.
The "model" of course is the particular name that the company has given to the item they have made. In the automotive world the model will be a name such as a Focus, Camry, Accord, Pathfinder, etc.
Along with factors such as your own driving record, your zip code and the demographics of the drivers in your household, the make and model of your vehicle can have an effect on your insurance premium.
If you are trying to decide which make and model you are going to buy and have certain cars in mind that you are interested in purchasing, then to find out which would be cheaper vehicle to insure you can get quotes for each car individually. You can obtain an auto insurance quote here by entering your zip code and some other basic information. There is no limit to the number of quotes you can obtain. You can simply change the vehicle information to determine the different costs for different makes and models.