It's difficult to answer without knowing how the "full name" is formatted.
It could be "Last Name, First Name Middle Name" or "First Name Middle Name Last Name", etc.
Basically you'll have to use the SUBSTRING function
SUBSTRING ( expression , start , length )
And probably the CHARINDEX function
CHARINDEX (substr, expression)
To figure out the start and length for each part you want to extract.
So let's say the format is "First Name Last Name" you could (untested.. but should be close) :
SELECT
SUBSTRING(fullname, 1, CHARINDEX(' ', fullname) - 1) AS FirstName,
SUBSTRING(fullname, CHARINDEX(' ', fullname) + 1, len(fullname)) AS LastName
FROM YourTable