The Controls is a collection that is part of the System.Windows.Forms.Form class. The line of code me.Controls.Add is what actuall adds the item to the form so it gets displayed. The error says that Controls doesn't exist, so the System.Windows.Forms.Form is not inherited.
Before Partial Classes were created, all of this code was part of the forms class definition. After Partial classes were added, the code generated by Visual Studio now resides in it's own file. The file name would be frmPointViewer.designer.vb. These files are typically not visible in Solution Explorer unless you click the icon for Show All Files.
In the original VB project were there any designer files?