In a recent experiment (https://arxiv.org/abs/2002.10475) with ultracold dysprosium atoms, it was possible to realize a dipolar gas in one-dimensional geometry at low temperature. The goal of the project is to provide realistic simulation of such a system. To do so, quantum Monte Carlo code has been developed. The correctness of the code has been proved, as the results obtained have similarities with the ones of the experiment. The simulation of that system was done, first of all, simulating an ideal Fermi gas, which was an easier system to start with, and with theoretical data to support the results. Once everything worked well, proven by the comparison of simulation results and theoretical results, there was a step on the development of the code so it had to simulate a purely dipolar system, as the one of the experiment. Having this step done was the time to obtain results from the simulation, such as energy of the system, which is composed of different kinds of energy. Finally, with all the results obtained it was possible to compare the results of the experiment with the ones from the simulation.