Normally, we would expect a nominal (noun or pronoun) to appear in the object slot in a sentence:
> 我喜欢你

However, people don't only like objects, they can also like actions and events. Thus, 喜欢 may take a verb, a verb-object construction, or even a whole sentence as its object:
1. 我喜欢学习
   I like studying
2. 我喜欢听音乐
   I like listening to music
4. 我喜欢看中国电影
   I like watching Chinese movies
5. 你喜欢喝什么茶？
   What kind of tea do you like to drink?
6. 我喜欢去图书馆看书
   I like to go the library to read books
7. 我不喜欢你吸烟
   I don't like you smoking
8. 帕兰卡喜欢不喜欢穿裙子？
   Does Palanka like to wear skirts?

Note that including a verb where possible is preferred in Chinese:
1. 我喜欢咖啡
   I like coffee
2. 我喜欢喝咖啡
   I like to drink coffee
Whilst (1) would probably be more commonly used in English, (2) is preferred in Chinese.

Verbs other than 喜欢xǐhuan ("to like") can take a verbal object, including: 学xué (to learn), 想xiǎng (to think/want), and 要yào (to want):
1. 我学说，不学写。
2. 我学写汉字。
3. 我很想看中国电影。
4. 你想去哪儿喝咖啡？
5. 我要一杯咖啡。
6. 你要吃什么？