This is the 11258th most frequent Russian word.
двухгодичный
"Two-year" or "lasting two years."
Here, "двухгодичный" is used to describe the duration of a course that lasts two years.
Я поступил на двухгодичный курс по изучению программирования.
I enrolled in a two-year course in programming.
In this sentence, "двухгодичный" modifies "проект" to indicate that the project had a time span of two years.
Мы завершили двухгодичный проект по разработке нового продукта.
We completed a two-year project to develop a new product.
"Двухгодичная" is the feminine form of "двухгодичный," agreeing with the feminine noun "программа" and conveys that the program lasts two years.