Belonging to an influential family of Spanish noblemen Hurtado de Mendoza successfully fought in the Arauco War during his stay as Governor of Chile.
In his later position as Viceroy of Peru he sponsored Álvaro de Mendaña's transpacific expedition of 1595, who named the Marquesas Islands after him.
He was the son of Andrés Hurtado de Mendoza, 3rd Marquis of Cañete — also a viceroy of Peru — and Magdalena Manrique, daughter of the Count of Osorno.
Hurtado de Mendoza demonstrated great efficiency in this campaign and also in Tuscany, when that duchy attempted to throw off Imperial rule.
The viceroy gave a banquet for his son, after which the fleet left port to the sound of military marches and a salute of cannons.
The poor people of Coquimbo were amazed at the largest contingent of soldiers — more than 500 — ever seen in those parts, armed with harquebuses and cannons, wearing armor and crests of plumes.
Knowing the animosity between Aguirre and Villagra over their aspirations to the governorship of Chile, García Hurtado did not hesitate to take both of them prisoner in La Serena, isolating them on a ship.
Mariño de Lobera relates in his chronicle that Aguirre, already aboard, greeted Villagra upon his arrival, shook his hand, and said: See, Your Honor, Señor General, how are the things of the world: Yesterday the two of us did not fit in one large kingdom, and today Don García has made us fit on a single plank.The governor arrived at Santiago as winter approached.
The cabildo (city council) was making preparations to welcome him, but Hurtado decided to continue by sea to Concepción, in spite of the contrary advice of those who knew the dangers of the climate at this season.
Lincoyan and other Indigenous leaders knew that the cavalry was coming by land from Santiago and conceived a plan to attack them at Andalicán, near Concepción.
According to Alonso de Ercilla, who had arrived in Chile with the governor, the Spanish took prisoner the Indigenous leader Galvarino and cut off his left hand.
A short time later, the city of Cañete de la Frontera was also founded, and was also divided among the troops returning from the battle.
Some historians claim that he tried to deal with the Spanish, promising to convert to Christianity, but Alonso de Reinoso, the commander of the fort, condemned him to death by impalement.
These workers, who up to now had been unpaid, were to be remunerated with a sixth part of the product of their labor, and this salary was required to be paid regularly, at the end of each month.
Females and males under 18 years of age or over 50 were exempt from the mita, and it was ordered that the Indigenous be fed, maintained in health, and evangelized by the encomenderos (Spanish holders of the encomiendas).
In Peru he was subject to a juicio de residencia for the arbitrary actions of his government in Chile (the confiscation of the encomiendas, the mistreatment of the soldiers, etc.).
However, Hurtado de Mendoza had already left Peru for Spain, to give his account of his campaigns and his government to King Philip II and the Council of the Indies.
The prestige of his family, the information about his services given by the Audiencia of Lima, and the recommendations from some faithful captains that began to arrive from Chile caused the accusations of his enemies to be soon forgotten.
Hurtado had frequent disagreements with Turibius de Mongrovejo, Archbishop of Lima, whenever civil and ecclesiastical jurisdiction conflicted.
The seminary school established by Mogrovejo was not established without a fight over whether to put the bishop's coat of arms on top of the entrance, or the royal coat of arms in the same place, as well as during the excommunication of Juan Ortiz de Zárate, mayor of Lima, over the forced arrest of a criminal who had taken refuge at a church.
The annual branding event held at Santiago's Plaza de Armas eventually became the modern day Chilean rodeo.