Since Times and Arial should be on your computer, you shouldn't have any problem with those. What about if you try using some other Google fonts, such as Lora and Fira Sans? Does bold work properly for them? Also, what kind of results are you getting from the font previews on this page? These will show the full alphabet, digits, and common punctuation in regular, bold, italic, and bold italics.
Since Times and Arial should be on your computer, you shouldn't have any problem with those. What about if you try using some other Google fonts, such as Lora and Fira Sans? Does bold work properly for them? Also, what kind of results are you getting from the font previews on this page? These will show the full alphabet, digits, and common punctuation in regular, bold, italic, and bold italics.