I'm not aware of a way to accomplish this. If this is a big issue that you are connected to the correct network, I would go into the Wi-Fi settings and tell it to forget every network except the one you need to connect to. Then there is no question you are on the right one.
If you want to find out the SSID of the WiFi network your device is connected to just go into the Settings menu, and it will show all the WiFi networks within detectable range with the name of the network you're presently using at the top. But no knowing which phone you have nor what version of Android its running it's hard to be more specific. I have a OnePlus phone running 12 in front of me and it's in the Settings >> Wi-Fi menu, while on an old Moto phone its in the Settings >> Wireless & Networks >> Wi-Fi menu. Its exact location varies depending on what phone you have but the same principle applies.