A) Throw out the Arduino, and just connect your display and sensor to the WeMos directly.
B) Connect the Arduino to the WeMos using UART, SPI or I²C and send the temperature value to the WeMos. Keep in mind that the Arduino UNO is a 5V device, and the maximum voltage for the ESP8266 is 3.3V, so you'll need a level shifter.
You can send the temperature as a binary value (beware of framing errors), but the easiest way is to use a text-based protocol. Since you just have to send a single value, you can just use a single delimiter (e.g. new line). That makes it very easy to parse.
If you want to use the Wemos D1 only as a 'network adapter', put a firmware into esp8266. 'Classic' is Espressif AT firmware in esp with WiFiEsp library in your sketch. New option is WiFi Link firmmware in the esp with WiFi Link library used in your sketch.
Both libraries recommended by me (WiFiEsp and WiFiLink) have standard Arduino networking API like the Ethernet and WiFi library.