What is the difference between infinitive as subject and Gerund as subject

What is the difference between infinitive as subject and Gerund as subject

to see is to believe.
There is no difference here
cooking is my favorite.
It means regular action
to play basketball was tired yesterday .
It means a one-time action

What is the difference between gerund as subject and infinitive as subject?

The present participle is a statement of objective facts

Conversion of infinitive phrases with verbs
1.Bill Gray drives a taxi in this city.
Bill Gray's________________________
2.The Chinese people spent more than 10 years building the Great Wall
It_____________________________________
3.Jenny is helping the old lady with her heavy basket.
Jenny is helping the old lady __________________________
4.Aunt Lucy said to me,"Please close the window before leaving."
Aunt Lucy asked me_______________________
5.Bob is not tall enough.He can't reach the candy box on the shelf.
Bob is____________________________________
6.Robinson Crusoe knew what he should do and what he should not do on the island.
Robinson Crusoe knew___________________________________
7.To my surprise,they say Jack weighs 200 kilogrames.
l'm surprised______________________________

1. Taxi is to be driven in this city 2. 3 to catch her heavy basket 4. To close the window before leaving 5