The SeaPort.exe process is a part of the Microsoft SeaPort Search Enhancement Process which comes bundled with the Windows Live Suite, and is installed in certain scenarios, usually on installing the Windows Live Toolbar.
SeaPort enables the detection, download and installation of up-to-date configuration files for Microsoft Search Enhancement applications and provides server communication for the customer experience improvement program. If this service is disabled, search enhancement features such as search history may not work correctly.
The SeaPort service is set to Automatic and runs automatically on every startup.
Seaport is not a virus or malware, but a legit Microsoft process. It is situated in C:\Program Files\Microsoft\Search Enhancement Pack\SeaPort folder.
If you feel you have no use for it and you would like to disable it to save some resources, you can easily disable it.
To disable Seaport and prevent it from running at every Windows startup, open Services.msc console and change its startup type from Automatic to Disabled. Restart your computer.