1 what that particular field would look like 是一个名词性疑问分句，what为疑问代词，作介词like的宾语。这个名词从句作介词of的宾语。
2 你的这个句子的结构是：名词词组，+and + 陈述句。这个句子作者遗漏了and。这种句式中的名词词组表示一个条件，and后的陈述句部分表示如果条件成立则会产生的结果。句子大约等于下句：
原句：Maybe two or three courses in areas of interest in high school that give them a “feel“ for what that particular field would look like, and they might be better prepared.
= If there are two or three courses in areas of interest in high school that give them a “feel“ for what that particular field would look like, they might be better prepared.
再看一个类似例句：
One more mistake, and you will be fired.
= If you make one more mistake, you will be fired.
