What does onyomi and kunyomi mean?

In Chinese, usually each kanji symbol has only one basic pronunciation or sound which changes very little, even when in combination with other words.  However, in Japanese there can be many different pronunciations, and a single kanji, both alone and in combination with other kanji, can represent several different meanings and / or words.  Japanese divides these varying representations up into two different groups called on-yomi and kun-yomi.  The term on-yomi means literally - "sound reading", and the term kun-yomi means literally - "meaning reading".  The on-yomi readings are derivations of sounds that are originally based on Chinese.  Not always, but in general, the on-yomi readings are put together with other kanji to create a new word with a deeper meaning that is based on the general concept represented by the kanji.  And, conversely, in general the kun-yomi reading is used by itself, or with some additional hiragana, to form a word that basically is itself exactly what the kanji's concept represents.  Using the above kanji - 人 - I will give an example:  The on-yomi, or sound readings, are ニン and ジン.  We can put ジン together with 日本 and we've created the word 日本ジン.  This means, "a Japanese person".  As I explained, by using the on-yomi reading and combining it with something else, we have created a word with a deeper meaning that is based on the original meaning (person).  Don't think of this as "a person who is Japanese" but rather a different type of thing, which is a "Japanese person".  As for an example of kun-yomi, let's look at the simple, small word - ひと - which means "person".  Again, as I said, the kun-yomi is basically just the same meaning as the kanji's concept itself.