Near the end of his life, Caesar began to prepare for a war against the Parthian Empire. Not everything went Caesar's way.
They lost a lot of their territory and their complete independence, making them an obligatory member of the Republic. Caesar maintained his alliance with Pompey, which enabled him to get elected as consul, a powerful government position, in 59 B.
Caesar greatly transformed the empire, relieving debt and reforming the Senate by increasing its size and opening it up so that it better represented all Romans.
Cleopatra visited Rome on more than one occasion, residing in Caesar's villa just outside Rome across the Tiber. They were granted patrician status, along with other noble Alban families. In the midst of all the chaos, he got his way.
Caesar was the more powerful and recognized of the two, and thus the citizens of Rome joked that instead of having the consuls Caesar and Bibulus, they had the consuls Julius and Caesar. Caesar also wrote that if Octavian died before Caesar did, Decimus Junius Brutus Albinus would be the next heir in succession.
He couldn't have both the triumphus and the consulate, because the day of the elections had been announced, and Caesar couldn't be up for the running unless he was a private citizen.