For the standard triumphant ones in Richmond? Lots of statues of men on horses. If you've ever been to DC, think about all the statues of Union officers. For battlefields, you'd have some that look like Gettysburg OTL (covered in monuments). Not just generals; I'd expect some prominent politicians as well.
You might also see something like the standard monumental lists of all the people from a given town/university who died in the war, sort of like what was commonly done in WWI/II.
There would also be the issue of the shared heritage with the US and the American Revolution; it would be interesting to see how the centennial of the Declaration of Independence would be celebrated in 1876. There was definitely a strand of thought that considered the Confederates to be continuing the Revolution of Washington/Jefferson/etc., this might be emphasized (with lots of speeches by Civil War heroes at various celebrations). Alternatively, you might have an effort to reconcile with the US and emphasize joint celebrations (although that will depend on how messy the war goes; if it's anywhere near as bloody as OTL, 1876 might be too soon for a reconciliation), or downplay it in favor of a new Southern identity.
As noted above, a lot of the OTL Confederate monuments were attempts to whitewash the Confederate cause, and tied to the growth of Jim Crow/destruction of the last vestiges of Reconstruction (e.g. the Wilmington Insurrection of 1898). A victorious Confederacy has no need for such, but does have other political issues to consider. OTL the Grand Army of the Republic was the main sponsor of a lot of the local pro-Union monuments in the 19th century, and also acted as a de facto arm of the Republican Party, keeping alive the memory of Lincoln and the Republican Party as defenders of the Republic (and conversely the Democrats as the party of "Rum, Romanism and Rebellion"); if the post-war Confederacy develops a similar political divide between a party more associated with the Confederate Army and a party with significant levels of former Unionist support, you might see something similar.