Вы можете сделать следующее:
with open('testfile.txt') as fp:
content = [elem
for line in fp.readlines()
for elem in [line.split()]
if elem]
print(content)
Это дает
[['A', 'B', '2'], ['A', 'E', '2'], ['A', 'W', '1'], ['B', 'D', '5'], ['B', 'W', '4'], ['B', 'C', '2'], ['B', 'F', '3'], ['C', 'F', '7'], ['C', 'V', '9'], ['D', 'E', '1'], ['D', 'J', '7'], ['E', 'K', '3'], ['F', 'L', '2'], ['F', 'M', '7'], ['F', 'R', '3'], ['F', 'Y', '1'], ['G', 'K', '8'], ['G', 'J', '5']]