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Lagoa Rodrigo de Freitas, mostly known as "Lagoa", is a lagoon and district in the Lagoa, Zona Sul (South Zone) of Rio de Janeiro. The lagoon is connected to the Atlantic by a canal which is bordered by the Garden of Alah park.

The lagoon is surrounded by the districts of Ipanema, Leblon, Gávea, Jardim Botânico, Copacabana, Botafogo, and Humaitá.

The lagoon attracts quite a number of visitors during the Christmas holidays due to its famous and gigantic Christmas Tree, which is built over a floating platform that moves around the lagoon. It will host canoeing & rowing events at the 2016 Olympic Games.
Source: Wikipedia

The hill with the antenna on it is called Sumaré. The one in the middle is the famous Corcovado with the statue of Christ the Redeemer on top of it.