Google is a brand name; at least in formal writing, you should always capitalize it—unless, for example, you are writing about a certain type of tricky bowling in a cricket match. See CMOS 8.153 for more details.

Do you capitalize Google in Google search?

No. Google as a verb should not be capitalized. Because if you put 'G' capital, you mean the word 'Google' as a company (proper noun).

How do I get Google to capitalize?

From the toolbar menu, click Format > Text > Capitalization, and from the list provided, choose the desired type of capitalization. The following are types of capitalization you can select: Lowercase—Makes every letter in the selected text lowercase. Uppercase—Makes every letter in the selected text uppercase.