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With your subnet mask and class C address, here are the specifics on your scenario:
Network Address: 192.168.1.0
Host Address: 192.168.1.25
Number of hosts: 256-2=254 hosts
Broadcast Address: 192.168.1.255
In order to connect with the internet, a gateway is needed, specifically a gateway that can convert the private addresses on your private LAN to a public address. This is done typically through a router via Network Address Translation (NAT), which uses IP addresses and port numbers to communicate online. Here is a link that helps to explain the NAT process: