Hi I am new the computer universe and need to know if the ip address I get from my ISP is the same as the one I get when I typ

The IP address you see is the one you get. Depending on your service provider, and their options, you could have a Dynamic (changing) IP address or a Static (doesn't change) IP address. Some automatically give you a Static one, others make you pay extra for that.

It has absolutely nothing to do with the laptop's serial number. And, the IP address is there no matter if you connect to the internet or not. You could disconnect all devices from your internet and the address would still exist. It has nothing to do with the device(s), it is the services address.

Also, depending on your setup, if the laptops WiFi is turned on (or Ethernet is connected) then you are on the internet. Even if you aren't in your browser or using a program that accesses the internet.

Look at the IP address as a mail address.
Let's say you live at Main street 24 in a town called Mytown, in the State of Mystate, in the county Mycounty in the country, let's say, the USA.
If this address is a private home, then you and you alone will have this address.
If someone from, let's say, Japan should send you a letter and uses the above address, that letter will finally end up in your mailbox!
Even if you are not at home (similar to your computer not connected to the Internet) that address does exist. If you are not at home (computer is not online and connected to the Internet) you will not be able to take out the letter from the mailbox and read it. As soon as your computer is online, a certain IP address will be assigned to your computer via many hubs, switches and gateways (like post offices in the mail world) and your emailbox will be connected to that IP address so that email with your email address will finally be delivered to that IP address.
As long as your computer is not online, you will not be able to open the email that was sent to you via any mail server, regardless if you use a mail client program such as outlook or use a web browser and get your mail from f.i. Gmail.