[subject] + 喜欢 + [noun] [subject] + 喜欢 + [verb] + [object] [subject] + 不喜欢 + …
喜欢 means "to like". It takes either a noun or a verb phrase as its object.
Nothing goes between 喜欢 and the verb. English needs "to read" or "reading"; after 喜欢 the bare verb follows straight on.
The negative is bù不xǐ huan喜欢. Liking is a state, not an event, so it takes 不 rather than 没.
Ask with a question word, or with the A-not-A form xǐ喜bù不xǐ huan喜欢, which repeats only the first syllable.