If you're interested in TMP's effects you really should get your hands on a copy of Cinefex #1 and #2 which goes into a lot of this. TMP included a lot of tesla coil and laser effects. There was a crude clay model of Ilia which got lightning zapped, for instance. There's also hand animated lightning in some sequences.
The lasers were used for the photon torpedoes (shot through a rotating crystal), the wormhole (all of it), the transporter beam (laser shot through crystal fragments), the digitization effect (first run the laser over the model "clean" to get the ripples, then wrap the model in foil and run the laser across it again, which creates all these flashes across the uneven surface for the foil), the cloud above V'ger during the flyover [Christopher mentions this in his reply, below, but I missed it at first, hence this edit], etc. There were also tests done to try to use the laser to actually create V'ger itself that Trumbull thought promising but ultimately they went for the huge physical model.
There's a hilarious photo of the Klingon ship wrapped in aluminum foil in preparation for the laser scan passes in which you can see some card on the Apogee crew affixed huge turkey leg frills onto the tail end of the nacelles...that ship's goose is cooked!
As to the V'ger energy bolts, to clarify what was described, image taking a film can and setting it on a hotplate with this liquid in it full of bits of metal and having the camera directly above it and shooting down into it. What you get is all the moving strange sparkles spreading out from the center (hottest spot) but confined in a circular area. From his description I think these were the BIG bolts fired into Earth orbit rather than the ones fired at the ships (which I believe were tesla coil lightning with a blinding xenon light), but it's possible that same element is in both.