Shakespeare did not continue his studies after grammar school
No, Shakespeare had only a grammar school education--the equivalent of high school. And it is not clear that he even finished grammar school.
At school, primarily Latin Grammar and translation.
He studied at grammar school, the equivalent of high school.
he went to a grammar school when he was a young boy.
At Stratford Grammar School
He went to a grammar school.
At school, primarily Latin Grammar and translation.
William Shakespeare attended the Stratford-upon-Avon Grammar School, which was also the school that taught him Latin. During the 16th century it was common for Latin to be taught in grammar schools.
He studied at grammar school, the equivalent of high school.
He had a grammar school education, about the equivalent of high school. He did not go to university.
It is believed that he attended the King's Grammar School in Stratford. This is based on the fact that this was the only grammar school in Stratford and that Shakespeare seems to have had a good grasp of the standard grammar school curriculum. The school's records have been destroyed and so cannot be used to confirm this hypothesis.