Pixel a Go-Go! has a variety of ways to import photos from a real Game Boy, FPGA handhelds like the Analogue Pocket, or from emulators.
For the Game Boy Camera specifically, the app is able to emulate the Game Boy Printer so that photos can be "printed" from the actual 1998 game/cartridge, directly to your phone using adaptors like the GameBoy Camera Adapter Duo.
After import, you can and have pixel accurate high resolution images for sharing across the web. For example, I use the app to take photos on my Game Boy Camera and upscale their original 160x144 resolution up to 5120x4608 for a niche GB Camera Instagram account I manage.
You can add filters, and even save as stickers to share over iMessage.
Happy to answer any questions! This has been a fun side project to help make it easy to share my favorite niche photos to thousands on Instagram. Excited to make it available so others can share their photos as well in modern resolutions that look good on the phone or web.