Ygtjki

Here's how I do it:

nmcli dev show | grep DNS

This worked previous to the way above:

nm-tool | grep DNS

I think you can also query DNS and it will show you what server returned the result. Try this:

dig yourserver.somedomain.xyz

And the response should tell you what server(s) returned the result. The output you're interested in will look something like this:

;; Query time: 91 msec
;; SERVER: 172.xxx.xxx.xxx#53(172.xxx.xxx.xxx)
;; WHEN: Tue Apr 02 09:03:41 EDT 2019
;; MSG SIZE rcvd: 207

You can also tell dig to query a specific DNS server by using dig @server_ip

Just do an, nslookup. Part of its results include the server that it's using.

In the example below, it shows that the DNS server used is at 8.8.8.8.

$ nslookup google.com
Server: 8.8.8.8
Address: 8.8.8.8#53

Non-authoritative answer:
Name: google.com
Address: 172.217.22.174

On systems running systemd use:

systemd-resolve --status

With the new network-manager command nmcli, do this:

nmcli --fields ipv4.dns,ipv6.dns con show <connection_name>

On newer versions of network-manager (such as in Ubuntu 16.04), the field names are slightly different:

nmcli --fields ip4.dns,ip6.dns con show <connection_name>

If you don't know the connection name, use:

nmcli -t --fields NAME con show --active

For example:

$ nmcli --fields ip4.dns,ip6.dns con show 'Wired connection 1'
IP4.DNS[1]: 172.21.0.13
IP4.DNS[2]: 172.21.0.4

If you are using network manager probably you get all network parameters from your dhcp server at your university.

If you don't want use your shell to check your dns settings (as described by hesse and Alexios), you can see them from the panel "Network information".

You can reach this panel by pressing right mouse button on network manager icon and selecting "Connection Information" from the menu.

to get the first DNS SERVER (IP only) :

cat /etc/resolv.conf |grep -i '^nameserver'|head -n1|cut -d ' ' -f2

• 
  cat will output DNS config


• 
  grep filters only nameserver


• 
  head will keep only the first row/instance


• 
  cut take the ip part of the row (second column with ' ' as separator)

To put DNS ip in an environment variable, you could use as follow:

export THEDNSSERVER=$(cat /etc/resolv.conf |grep -i '^nameserver'|head -n1|cut -d ' ' -f2)

The command

 nmcli dev list iface <interfacename> | grep IP4

Replace "interfacename" with yours.

examlpe

 nmcli dev list iface eth0 | grep IP4

This will list all DNS servers(If you use more than one).

I have Fedora 25 and also had similar slow response on command line to sudo commands.

nmcli dev show | grep DNS 

showed that only one of my 3 adapters (two active) had DNS entries.
By adding DNS entries to the one active card that didn't have an entry - presto!
All is good and response time is immediate.

Using resolvectl

$ resolvectl status | grep -1 'DNS Server'
 DNSSEC supported: no
 Current DNS Server: 1.1.1.1
 DNS Servers: 1.1.1.1
 1.0.0.1

For compatibility, systemd-resolve is a symbolic link to resolvectl on many distros as for Ubuntu 18.10:

$ type -a systemd-resolve
systemd-resolve is /usr/bin/systemd-resolve

$ ll /usr/bin/systemd-resolve
lrwxrwxrwx 1 root root 10 nov. 15 21:42 /usr/bin/systemd-resolve -> resolvectl

$ type -a resolvectl
resolvectl is /usr/bin/resolvectl

$ file /usr/bin/resolvectl
/usr/bin/resolvectl: ELF 64-bit LSB shared object, x86-64, version 1 (SYSV), dynamically linked, interpreter /lib64/ld-linux-x86-64.so.2, for GNU/Linux 3.2.0, BuildID[sha1]=09e488e849e3b988dd2ac93b024bbba18bb71814, stripped

In CentOS, you can use:

/usr/sbin/named -v