Ok,
Followed the guidance in the tutorial. Made all the connections and everything. Uploaded the ArduinoISP to the Programmer UNO and started the "Burn Bootloader". Then it failed with the following error messages:
Arduino: 1.8.7 (Linux), Board: "Arduino/Genuino Uno"
/home/jwright/Public/arduino-1.8.7/hardware/tools/avr/bin/avrdude -C/home/jwright/Public/arduino-1.8.7/hardware/tools/avr/etc/avrdude.conf -v -patmega328p -carduino -P/dev/ttyACM0 -b19200 -e -Ulock:w:0x3F:m -Uefuse:w:0xFD:m -Uhfuse:w:0xDE:m -Ulfuse:w:0xFF:m
avrdude: Version 6.3-20171130
Copyright (c) 2000-2005 Brian Dean, http://www.bdmicro.com/
Copyright (c) 2007-2014 Joerg Wunsch
System wide configuration file is "/home/jwright/Public/arduino-1.8.7/hardware/tools/avr/etc/avrdude.conf"
User configuration file is "/home/jwright/.avrduderc"
User configuration file does not exist or is not a regular file, skipping
Using Port : /dev/ttyACM0
Using Programmer : arduino
Overriding Baud Rate : 19200
AVR Part : ATmega328P
Chip Erase delay : 9000 us
PAGEL : PD7
BS2 : PC2
RESET disposition : dedicated
RETRY pulse : SCK
serial program mode : yes
parallel program mode : yes
Timeout : 200
StabDelay : 100
CmdexeDelay : 25
SyncLoops : 32
ByteDelay : 0
PollIndex : 3
PollValue : 0x53
Memory Detail :
Block Poll Page Polled
Memory Type Mode Delay Size Indx Paged Size Size #Pages MinW MaxW ReadBack
eeprom 65 20 4 0 no 1024 4 0 3600 3600 0xff 0xff
flash 65 6 128 0 yes 32768 128 256 4500 4500 0xff 0xff
lfuse 0 0 0 0 no 1 0 0 4500 4500 0x00 0x00
hfuse 0 0 0 0 no 1 0 0 4500 4500 0x00 0x00
efuse 0 0 0 0 no 1 0 0 4500 4500 0x00 0x00
lock 0 0 0 0 no 1 0 0 4500 4500 0x00 0x00
calibration 0 0 0 0 no 1 0 0 0 0 0x00 0x00
signature 0 0 0 0 no 3 0 0 0 0 0x00 0x00
Programmer Type : Arduino
Description : Arduino
avrdude: stk500_getparm(): (a) protocol error, expect=0x14, resp=0x14
avrdude: stk500_getparm(): (a) protocol error, expect=0x14, resp=0x02
avrdude: stk500_getparm(): (a) protocol error, expect=0x14, resp=0x10
Hardware Version: 4238814
Firmware Version: 28284272.0
Topcard : STK502
Vtarget : 1.8 V
Varef : 0.0 V
Oscillator : Off
SCK period : 0.1 us
avrdude: stk500_initialize(): (b) protocol error, expect=0x10, resp=0x01
avrdude: initialization failed, rc=-1
Double check connections and try again, or use -F to override
this check.
avrdude: stk500_disable(): protocol error, expect=0x14, resp=0x10
avrdude done. Thank you.
Error while burning bootloader.
Unfortunately I have no idea what the error messages might be trying to tell me.