That is a hardware specific problem. The Ideapad ships with an Intel Celeron N3060 with HD400 graphics that unfortunately does not run with the modesetting driver that all other intel graphics chips run with.
For it to go get working on the terminal after you booted live do these steps:
1. Stop SDDM Login Manager
systemctl stop sddm
2. Copy the Intel confguration file to force the intel driver instead of modesettings driver
sudo cp /usr/share/doc/xserver-xorg-video-intel/xorg.conf /usr/share/X11/xorg.conf.d/11-intel.conf
3. Start SDDM Login Manager again with the forced intel driver in place
systemctl start sddm
That should get you going. If you experience graphics glitches switch to the OpenGL 3.1 under systemsettings -> display -> compositor.