제가 V+ 을까요/ㄹ까요?² Ask the listener how he/she thinks about the speaker's action.

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다음 주말에 우리 집에서 송년회를 해요. 꼭 오세요.

We are having a year-end party next weekend. You should come.

그럼 제가 과일과 음료수를 살까요?

Then, shall I buy some fruit and drinks?

네, 고마워요.

Yes, thank you.

그럼 다음 주에 만납시다.

See you next week.

제가 V+ 을까요/ㄹ까요?²

It is used to ask the listener how he/she thinks about the speaker's action.

See 2 other uses of this expression here:

V+ 을까요/ㄹ까요?¹ Express suggestion to the listener of doing things together. 
V/A+ 을까요/ㄹ까요?³ Speaker asks something with speculation. 

제가 식탁을 닦을까요?

Shall I wipe the table?

제가 몇 시에 전화할까요?

What time shall I call you?

제가 거기로 갈까요?

Shall I go there?

Related words

다음 주말 next weekend

송년회 a year-end party

제 I (When you put '가' after '저', use '제가' not '저가')

고맙다 to thank, to appreciate

식탁 a table

닦다 to wipe

전화하다 to call

Source: Yonsei University. Korean Language Institute

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