You can specify the style of the plotted line when calling df.plot:
df.plot(x='col_name_1', y='col_name_2', style="o")
The style argument can also be a dict or list, e.g.:
import numpy as np
import pandas as pd
d = {'one' : np.random.rand(10),
'two' : np.random.rand(10)}
df = pd.DataFrame(d)
df.plot(style=['o','rx'])
All the accepted style formats are listed in the documentation of matplotlib.pyplot.plot.
