I don’t get what’s the conversation about
It is an exchange between two friends as one of them is returning from a long trip (like at an airport).
The translation might be as follows:
현우: 민준아, 여기야…HW: Over here, Min June.
민준: 어, 그래. 야, 오랜만이다. 잘 지냈어?..MJ: Oh, Ok, Hey, it’s been a while. How are you?
현우: 그럼, 잘 지내지. 근데, 너 안 피곤해?..HW: Well, I’m fine. Aren’t you tired, by the way?
민준: 괜찮아…MJ: I’m alright.
현우: 가방 줘…HW: Give me the bag.
민준: 아냐, 안 무거워…MJ: It’s Ok. It’s not heavy.
무거워 means “(It is) heavy”, from the root form 무겁다.