Generally speaking, the lower your bounce rate is, the happier you should be.
However, don’t forget that not every user that visits your website will land on the home page. Whenever a visitor enters your website via a link or a search engine, he or she may land directly on the page with the information that he or she was looking for. If this page answers all his or her queries, the visitor is more likely to leave directly after – leading to an increase in bounce rate on that specific page. Then, having a high bounce rate isn’t necessarily a bad thing.
As a rule of thumb, the homepage bounce rate should not be higher than 35%. If you have a bounce rate higher than that, you might want to look into the reason behind that and start optimising your home page.
A much lower bounce rate for the home page is difficult to achieve for many websites (if it is suspiciously low, that could also mean that there is an issue with your Google Analytics tracking code implementation). It’s perfectly normal to have visitors with different levels of intent visiting your website.