I have met many expats who live in Guangzhou, and they like to ask me where we can travel in the city to know GZ better? I have two places recommended to you.
1]Chen Clan Academy

Chen Clan Academy, also known as Ancestral Temple of the Chen Family, was built as a college in 1888. Chen Clan Academy was designated as the Guangdong Museum of Folk Art in 1959, and abundant of cultural relics, arts and crafts are showed in the academy. With its typical magnificent architecture features, the academy is honored as the representation of Cantonese architectures and folk arts. It was added in the list of "Cultural Relics of National Importance under the Protection of the State" in 1988.
2]Zhen Hai Tower--Yue Xiu park

Yue Xiu park is a big park located in the dowtown of the city, right across to China Hotel. The reason I recommend it is that there is a very good museme in the park—Zhenhai Lou Tower, which is a very good place to learn Guangzhou history.
Zhenhai Tower stands proudly on Yuexiu Hill in the park, built on top of the last remaining section of Guangzhou’s City Walls. At a height of 28 meters, it is also known as Five Storey Tower or Five Storey Pagoda (presumably because it has five storeys) and was first built in 1380 by the orders of nobleman Zhu Liangzu. Zhu apparently built the tower as an expression of his power and these days it seems about the only thing for which he is remembered. Since his day, Zhenhai Tower has been destroyed and rebuilt five times and was also occupied by French and British soldiers during the First Opium War. Just outside the tower are a collection of cannons from this period. Zhenhai Tower is now home to the Guangzhou City Museum. This fascinating though relatively small museum traces the history of the old Canton from prehistoric times, through the dynasties and foreign settlement up to the present day. The ground floor has a 3D model of modern Guangzhou as well as maps of where the City Walls used to stand.