There are probably a couple of ways you can do this assuming by "Word Form"
you mean "Online form", e.g. created using Word's Forms toolbar (but maybe
you could clarify "put into a Word Form with Bookmarks"):
a. if all the user data is actually inserted using form fields, check Word
Tools|Options|Save|"Save data only for forms" (or more likely, do the
equivalent in VBA which is
ActiveDocument.SaveFormsData = True
then save the file. This puts the data into a delimited text file which you
can import into your database. However, it does not save a line of headings
so you may need to provide those separately)
b. use Word VBA to retrieve the value of each form field (or bookmark),
then use e.g. ADO to update your database directly (assuming it can be
accessed using ADO) or save the values to a delimited text file and import
them as in (a).