No, you can't see "what party" someone voted for as we don't vote by party in Virgina. We vote by individual office and those running for an office.
In the sample image you can see ONLY one ballot circle for - IIRC - the AG vote for one candidate.
#1 You cannot see other votes cast on the ballot.
#2 The vote circle being darkened in or not does not indicate all choices which are the R, the D, or write in. A darkened circle means an (R) vote, a non-darkened circle could be (A) a D vote, (B) a write in vote, or (C) no vote cast at all for the office.
But see here in VA, Fairfax County tends to vote D, hence calling for the entire ballot to be disqualified, even for races not impacted by the hole. A tactile marker required for the visually disabled by Virginia law (the placement of which I agree was not good).
WW