Could someone tell me what are the types of a network ban, (for example, a G line) and tell me what does for each type. Also if there is a way for a user to be "kicked" from the network please tell me what it is.

We don't discuss the specifics of Network Bans (describe how and when each type is used) however all network bans essentially prevent a banned individual from connecting to the network altogether for a period of time or in very rare cases permamently. When someone is Network Banned they cannot join any channels.

Kills are like being momentairly kicked from the network and are sometimes used to warn individuals before Network Banning however we tend to verbally warn users a few times instead of using kill.

ok, then

A G:LIne refers to banning a client from an IRC-network(in this case WyldRyde), and Whenever a glined person attempts to connect to WyldRyde either the services or the IRC daemon will automatically disconnect the client, often displaying a message explaining the reasoning behind the ban. Glines are typically set as *@IP or *@host(depends on the opper's decision). K-lines only disconnect clients on one server of the network. Then if they continue to disprupt on other servers, they are given a G:Line. Zlines are a newer version of K-lines. Most Z-lines are "awarded" to people who abuse the network as a whole (on smaller networks, these are more frequently issued for isolated incidents). Zlines can also be global, in which case they are called GZlines. GZlines work in the same manner as Zlines, except that they propagate to every server on the network.

A Z:Line isn't anything new. The difference is: a Z:Line is based on IP's. Where a K:Line is based on hosts.
a Global-K:Line is a G:Line. A Global Z:Line is a gzline.

A Z:Line prevents the user from connecting to the server. A G:Line the server waits for the users Ip address to resolve before it matches it to its list and then bans the user if needed.

all of which make little difference as banned = banned

So to put this all in words, a g:line is a Global Ban using hostnames, a gz:line is a global ban that uses IP address, a k:line is a ban on one server using hostnames, and a z:line is a ban on one server using a IP address. I think I also know that there's a akill which disconnects a user from the network but does not ban that user.

correct

Do you mean that about the akill also

An Akill is Services making a Gline when a user connects/is connected matching its lists.
This is a ban, but from a G:Line point of view basically.

What happens if you get a akill, does that user get banned indefinably?

Your question is answered in http://www.wyldryde.org/commands/
Click on Root-Serv Commands.

Thanks everyone