Is Google Islamophobic?

No. Google isn’t Islamophobic but a lot of its contents are. But Google doesn't do anything about it. They just simply sit there and let people visit hate sites. Let me give you an example:

In the above search, I wanted to know what Islam the religion says about “hate speech”. Instead of providing results from educational websites, Google showed results from hate sites and some other completely irrelevant results.

One of the top 5 results referred to Jihadwatch. org which is owned by a anti-Muslim Islamophobe. According to Southern Poverty Law Center, the owner of Jihadwatch, Robert Spencer was quoted by terrorist Anders Breivik who killed 77 people in a terrorist attack.

About Robert Spencer 
He insists, despite his lack of academic training in Islam, that the religion is inherently violent and that radical jihadists who commit acts of terror are simply following its dictates. His writing was cited dozens of times in a manifesto written by the Norwegian terrorist Anders Breivik. Spencer was banned from the United Kingdom as an extremist in July 2013. 
Robert Spencer | Southern Poverty Law Center

But Google doesn't treat all religious groups equally. It gives special treatment to Jews (It is also important to note that both of Google's founders are Jewish). Recently, Google removed a search result about holocaust denial after a Jewish person complained about it.

Google recently made a big move regarding their stand on search results when they reportedly altered their search algorithm to get rid of results that deny the holocaust. 
Gizmodo reports that this was prompted by a search result when the keywords “Did the Holocaust happen?” were keyed in. Previously, the first result came from a white supremacist website entitled “Top 10 reasons why the holocaust didn’t happen.” 
While Google initially refused to remove the article, the company later had a change of heart and promptly altered their search algorithm to remove Holocaust denial sites. 
Google alters algorithm, removing Holocaust-denying results

Though Google isn't Islamophobic, it surely helps Islamophobes spread their hateful message.