Quevedo is known for its prominent Chinese immigrant population and has even been called the "Chinatown of Ecuador". This gives it a distinct appearance and cultural feeling in relation to other Ecuadorian cities. There are many chifas (Chinese food restaurants) throughout the city of highly variable quality.
Most tourist guide books portray Quevedo very poorly, and indeed, it is not a city well-equipped for tourism. Regardless, accommodation, good food, and a unique cultural experience are all available.
If you can speak at least a limited amount of Spanish, the best way to get around Ecuador is by bus.
Transportes Ecuador is well-known for being a safe and comfortable bus company. They have buses running between Quito and Guayaquil almost 24/7, all of which will stop in Quevedo, albeit very briefly. Transportes Flor de Imbabura is another respectable company. Macuchi is to be avoided.
Taxis are everywhere in the city and eager to give you a lift. It seems to be sort of an unwritten rule that a ride from anywhere to anywhere within the main city costs 1$USD. Don't let them charge you more.
Unless you have specific business or plans in Quevedo, the best thing to do is just walk around the city center. As was previously mentioned, Quevedo is not a very tourist-oriented city. Because of this, however, you can get a good taste of what a true Ecuadorian coastal city is like.
Along the waterfront is a bustling fish and produce market showcasing the whole gamut of food products from the area.