How does postgres compare dates in WHERE clause?

I have a table with ~200 million rows that has a date column. I want to perform the following query.

select my_date from my_table 
where my_date > to_date('2020-10-01', 'YYYY-MM-DD');

As the query is executing, on each my_date in each row, the date value in the database will be compared with my string date cast into a date object. Is postgres smart enough to realise that this transformation from string to date object needs only to be performed once or will it execute with each row?