a patrian is a puple higher up in the ranks of the roman empire than a pelebian
Yes, they did gain a larger role in politics. In fact, after their strikes, protests, and actually leaving the city for their own enclave on the Adventine hill, they got what they wanted. By the time of the mid to late republic one consul had to be a plebeian.
The patricians (aristocrats) and plebeians(Commoners) had the same rights. Every Roman was equal before Roman law and all Roman citizens had the seem rights. In the Early Republic the patricians monopolised political power. The rich plebeians fought to obtain power-sharing and succeed in the conflict of the orders of the Early Republic.