GBA Pokemon games do not work with the Pokemon "Stadium" series. However, on the PC, the
NRage Plugin supports the transfer pack for GBC/GB era games.
Once you load them on the PC, I think you can "register" the team on PKMN Stadium. From there, just copy the save file over to Surreal 64.
Surreal keeps its save files in either the TDATA in the a64fea57 folder. The saves are under a weird numbering system that you might need to trial & error out. For example, you can copy the files to a different folder, open PKMN Stadium, & see the name of the file that was created. That worked for me on Super Mario 64.
From there, if the save file loaded, you can pick your registered team & go. As you level up on the GB, just rinse & repeat.
Also, it seems like the right place to me.