RE: Yes...
They can access the internet at the same time without incident?
Thanks so much!
Hi chupacabra31,
Yes, using a switch to connect both of your computers to your LAN network allows both to access the Internet through your modem/router at the same time without incident. It will work. (I am assuming that your current modem/router is configured to act as a router, that is, it will assign LAN IP addresses to both of your computers and perform the proper NAT - Network Address Translation. Most any modern router will do this, but you will likely have to set this up on your router -- some software apps or web-based management tools make this setup nearly transparent to the user. If your router can also act as a SPI Firewall, then configuring this will add some security to your system. The switch I listed above, the Netgear GS108T, does Quality of Service, guest VLAN, MAC port security, ACLs, and web-based management. If you wish to have even greater security, then the Netgear FVS318G switch provides a SPI Firewall with NAT along with 5 VPN tunnels. And no, I am not employed by Netgear, these are just the switches that I am familiar with, but you can buy similar switches from any of the companies making network equipment. Your current modem/router may already provide a firewall for you, so you won't need your switch to also provide a firewall.)
If you will never have more than the two computers connected (so, no WiFi router, no Network Attached Storage, no Apple TV, no Internet TV, no network printer), then a simple 3 or 4 port switch will work for you (I believe it is difficult to find 2 port switches; I have seen, however, so-called "splitter cables" that act as a "Y" splitter -- I've never used these splitter cables, so I don't know how well they work, but in theory this is all you should need).
Good luck,
Switon