It took some time, but now, thanks to the Göttinger Digitalisierungszentrum, the first edition of William Bowyer’s collection of New Testament conjectures is available online (or here). It is part of the second volume of Bowyer’s (very rare) 1763 Greek New Testament (the first part of this second volume is found here or here). Thus far we could had to go to the Library of the Leiden University to consult it.
For our project here at VU University this edition is important, even though it contains far fewer conjectures than later editions (1772; 1782; 1812). For a number of New Testament conjectures, it is simply the earliest source there is.
Update 17 May 2013: added some links, as the GDZ ones do not seem to work.