It can be used without any need to have any Google application installed.
Linked below is a package that has come from another Android project that restore the Google parts.
LineageOS does still include various hardware-specific code, which is also slowly being open-sourced anyway.
1. Download the ROM and Gapps package (optional)
2. Boot to recovery.
3. Wipe Cache, and Data (you might need to format data partition!).
4. Flash ROM.
5. Flash GApps (optional).
6. Reboot and set up your device (realize that first boot might take longer than usual)
If you discover any bug/issue, please pm me and report with a log and the steps to reproduce that