Assuming that your report is based on a query, then add the following to the Name field criteria:
[What is user Name?]
Now, the problem stems from the fact that not everyone may know how to spell the name correctly...so you could do:
Like "*" & [What is User Name] & "*"
But, if you have a Smith and a Smithers...then you will get both on your report.
So...you could create a form that has a combobox based of your Name table, include the UniqueID for the record and the name of the individual. Add a command button to open the report and finally, add the following to the UniqueID criteria of the query that runs the report:
[Forms]![NameofForm]![NameComboBox]
Obviously, you will need to change the names to match those in your database.
HTH