Emails are held on the mail providers' (in your case Gmail) servers. When you open your Gmail app on your phone/computer, depending on your device settings, after an exchange of verification credentials, you are able to access your emails.
Providing you have set up your email to use IMAP protocol, until you decide to actually file or move your email, it remains in the server Inbox (it stays in Gmail's cloud). You can access the same email from any device that can provide evidence that you are authorised to do so - i.e. you have set up an account. You can download the email to any of your devices, have Gmail delete it or archive it among other options.
Usually, the first time your email is actually accessed by one of your devices, it is marked as 'Read' so when viewed on a different device, its title is not in Bold type.
If you set up the alternative POP protocol the email is downloaded to your device and you manage your emails on the device itself. It can cause confusion if you use more than one device because the first device to access your email has 'taken' it and it is no longer available.
IMAP mails take up storage space in Gmail, POP mails are only saved on the device that accesses them.