Questions & Answers about Я села на лавочку у озера и открыла книгу.
Because the past tense in Russian agrees with the speaker’s gender.
- села = I sat down said by a female
- сел = I sat down said by a male
The same applies to открыла:
- открыла = said by a female
- открыл = said by a male
So this sentence is spoken by a woman or girl.
These verbs mean different things.
- села comes from сесть and means sat down
- сидела comes from сидеть and means was sitting / sat
So:
- Я села на лавочку = I sat down on the bench
- Я сидела на лавочке = I was sitting on the bench
In your sentence, the speaker is describing a sequence of completed actions: first she sat down, then she opened a book.