There are a lot of places to go to in Buenos Aires. It all depends on what your interests are and what you want to visit first. You can first go to Barrancas de Belgrano to take a look at the last few parks left standing. Then, you can proceed to the Basilica de Santo Domingo, which is an 18th century structure that marks the entrance into San Telmo.
You can also go to Cabildo de Buenos Aires, the original seat of the government. Visit the pink house or Casa Rosada, the Cathedral Metropolitana, the Iglesia Santa Catalina, the Cementerio de la Recoleta, and the Museo de Arte Latinoamericano de Buenos Aires.