like是动词，后面可以接名词或doing的形式作宾语like to是to后面接动词短语构成介宾短语共同做宾语.I would like to do something 是个固定句型，要加to的.

比如：I would like to have a cup of tea.

如果直接跟名词就不用：I would like sth.比如：I would like a cup of tea.