yes, and dye.
you see, a restriction enzyme basically cuts dna at certain points. as you probably know, dna is a series of nucleotides, which i'll abbreviate as A T C and G, since I don't remember the correct spelling off the top of my head. the restriction enzyme cuts between a certain series of code, so like everytime it finds ATAGCA it'll cut between the a and g, (random example), using this you basically cut the dna into pieces, but all cut using a similar methodology. you then dye the dna (so it's visiable to the human eye) and load them into wells made on an Agarose gel, (basically agar but minus the nutrients)
you then load that gel into an electrophoresis chamber (basically a plastic box with water in it, with an area to put a positive connector on one end and negative connector on the other end) and start pumping electricity through the water. this will carry the dna sequences a distance depending on their size, smaller dna will go farther and bigger dna will go not as far, this results in dyed bands in the agarose gel.
I don't really know how to tell if someone's your parent or not, but I know how to do dna testing and play who done it games, (where you set up a fake crime scene and have suspects, and you dna test all the suspects and dna found at the crime scene and find out who done it)
I used to do stuff like this in High School.