Not much else to say, when I turn on the arcade and press a button I can hear sound, just not see anything, on the screen

I've had this happen to me with my first Tiny Arcade, you might want to return yours.
First, though, check if the bootloader text shows. (hold both buttons down and turn it on)

Good news: the bootloader turns on the screen
Bad news:

It also may look like this:

Wow, you miiight want to see if you can get a replacement.

Wow as well, I'm not sure if that's a a damaged OLED or something else- glad you emailed us so we can replace it.

Thanks,
Ben