Get the internet working
The guest starts without a live link until you bring the network up. Here is how to do it, and what to check when it will not connect.
The one click way
Boot a machine, wait until you reach a shell or desktop, then press Run DHCP in the toolbar at the bottom of the screen. That loads the network driver, brings the interface up, and requests an address. Most images that include a driver come online within a few seconds.
Do it by hand
If you prefer a terminal, or the button did not take, run these inside the guest:
modprobe ne2k-pci
ip link set eth0 up
udhcpc -i eth0
On a system without udhcpc, use whichever client is present:
dhclient eth0
dhcpcd eth0
Check the connection
Confirm there is a route to the internet:
ping -c 3 1.1.1.1
Then confirm name resolution works:
ping -c 3 example.com
If the address ping works but the name does not, set a resolver and try again:
echo nameserver 1.1.1.1 > /etc/resolv.conf
When it will not connect
The interface is not called eth0
List what the kernel actually created and use that name in place of eth0:
ip link
Common alternatives are ens3, enp0s3, and enp0s4.
There is no network card at all
The card here is an NE2000 compatible device, so the guest kernel needs the ne2k-pci driver. Small and live distributions that work well in the browser include Alpine, Tiny Core, and Buildroot based images. A heavily stripped kernel may simply not have the driver built in.
The address ping fails too
If even 1.1.1.1 is unreachable, the relay that carries the traffic may be down or busy. That part is outside the guest. Wait and try again, or reboot the machine and request DHCP once more.