That's normal i think. If you refer to the 2 little arrow down and up right beside the WiFi signal? That means you are using the internet via WiFi. In the internet world, we have UPload and DOWNload data. Upload mostly for browsing then download is when we are downloading.
I think there's and different icon if you're using mobile data. There's this icon sitting on top of the mobile signal bars.
Go to your settings look for mobile data or cellular data. Check if it's on or off.