I know that ましょう form changes the verb meaning into "Let's". As in 行きましょう 'Let's go' or あそびましょう 'Let's play'.
But もらう verb means that something good is done by another person in which we are grateful. Would it means something like "Let's make someone do something good to us" ?
For example: しずかさんにすてきな歌を歌ってもらいましょう。 What I catch is: 'Let's (make someone) sing a good song for Shizuka'. Is this correct?