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GUB/SOS1 branching is an old and well-known idea (see for example page 9 of Jeff Linderoth's notes).

Is this implemented in commercial solvers these days?

The Gurobi documentation mentions SOS1 constraints, but never mentions SOS1 branching.

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I found in the IBM website that: CPLEX automatically converts SOS1 constraints on binary variables into a regular set packing constraint(source).

On page 80 of this presentation by Jeff Linderoth, it is mentioned that some noncommercial solvers like CBC and Ip_solve SOS(2) branching while CBC and MINTO equipped with GUB branching.

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If you accept non-commercial solvers too, then SCIP seems to have it. From the link:

constraints/sos1/branchingrule to decide whether to use neighborhood, bipartite, or SOS1 branching...

AIMMS also seems to have a mention of SOS1 branching according to page 9 of this manual.

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    $\begingroup$ To complete @EhsanK said, SCIP has a facility to deal with it. Please, see this link. $\endgroup$ – A.Omidi Nov 26 '19 at 10:32
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It's actually quite common, on top of what other people mentioned, I believe MINOTAUR and Couenne support that too, and as of the December release, so will Octeract Engine.

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