First of all, thank you for reaching out to Mytour's Q&A section with your query. Regarding your question about logging in with your Google Account (Gmail account) in Pokemon Go and it not showing up.
Upon investigation, we've found that the main reason for the Google Account not showing up is likely due to selecting the wrong date of birth when initially launching Pokemon Go on Bluestacks. To fix the issue, you'll need to use Bluestacks and adjust the game's settings. For detailed steps, please refer to Mytour's article on fixing the Google Account login issue in Pokemon Go, which is written in a clear and concise manner for your convenience.
Once you've fixed the issue, start playing Pokemon Go on PC. If you're new to the game, there might be a lot to learn, from how to play Pokemon Go to how to catch Pokemon. Check out a guide on how to play Pokemon Go to understand this hot game better, and of course, don't miss out on learning how to catch Pokemon. Catch as many Pokemon as you can to evolve them; evolving Pokemon will increase their power.
Lastly, here are some bonus tips for playing Pokemon Go to help you get ahead in the game and become a master with these Pokemon Go tips.