Learning aim is a broad , general statements of what I as a teacher want my students to learn or achieve. It is the {Big-picture} outcomes, often linked to curriculum standards or course goals. So we can say , it’s the purpose behind teaching this unit or this course and lesson.

However, learning objectives are more Specific, measurable statements of what students will be able to do by the end of a lesson and usually time-bound. Since the learning aims are the “why” , the learning objectives are the “how” and ” the “when”.

Example: “By the end of the lesson, students will be able to identify and explain two examples of figurative language in ‘Music for My Mother.’” {Grade 9}

So we can summarize the difference as following:
The aim is like saying, “I want to be C2 proficiency in English”
The objective is like saying, “I will practice listening for 2 hours a day, do shadowing three times a week, for the next 6 months ”

“Students will develop the ability to express their ideas creatively and effectively through narrative writing.
”SMART LEARNING OBJECTIVES:
“By the end of the lesson, Grade 9 students will be able to write a 3–4 paragraph narrative essay that includes a clear setting, at least two developed characters, a sequence of events, and a resolution, using appropriate transitions and descriptive details.