Review of Linux Compatibility
The Lenovo IdeaPad G710 is supported under Linux. However, out-dated distributions might have trouble with the WiFi chipset, which bases on the Broadcom BCM43142:
01:00.0 Network controller : Broadcom Corporation Device [14e4:4365] (rev 01)
This chipset is supported by the driver package bcmwl, but only since version 188.8.131.52 (see Changelog).