Tubeless tires will work in a tube type rim (with a tube, of course!) but the rim profiles are different - and tubeless tires are a bugger to get on a tube rim. Once actually pried over the rim lip, you have to seat the bead - difficulty varies with tire size and brand.
The procedure is pretty simple, you douse the rim and tire with tire mounting lube and remove the valve. Then pressurize the tire to a way high pressure, 60 to 80 psi. This has some dangers, so wear eye protection at least. Then let the air out, replace the valve, and spin the wheel on its axle. Most tires have a line near the bead all the way around, check that this line is the same distance from the rim edge all around the wheel on both sides. If not, break the bead off and relube then try again.
Making sure the rim flanges are clean of rust and dirt helps as well.