The Free University of the Environment is one of the most beautiful places in the city of Curitiba. Opened in 1992, it is surrounded by a large forest, and operates a quarry. To reach the university, you'll need to walk for about 5 minutes; the road is beautiful. It was built with the intention of being a benchmark in the study of environmental conservation and sustainability. As such, it has an ampitheatre, a lake, and a wooden tower which you can climb and enjoy really wonderful views. Admission and parking is free.
The historic building of the Federal University of Paran (UFPR) is located at Santos Andrade Square, right in the centre of the city of Curitiba. The area is the most important in the city, and it's worth visiting, as the building is really large and beautiful. UFPR was the first university in Brazil, opened in the year 1912, and the building is still used to show photos of graduations. You'll often see tourists here taking photos, but be careful, as it's a somewhat dangerous city, and robberies are common in this area.