I want to put up dry walls in my garage
I am wondering about the order I should do them in.

The typical order of construction is:

1. Foundation
2. Framing
3. Exterior doors/windows.
4. Plumbing
5. Electrical
6. Insulation
7. Drywall
8. Painting
9. Electrical fixtures (ceiling lights, etc.)
10. Interior doors, trimwork, and final finish materials.

The first three are pretty obvious. Plumbing usually goes in the wall first
because it is relatively large and has to maintain specific slopes. It's
harder to route it around other obstacles.

Electrical goes in next because it can be routed around plumbing, framing
members, etc.

Then insulation fills the gaps left in the wall and everything gets covered
with drywall.

Garage door/opener
Putting insulation on the side
Drywall?

When I built our garage, I built the garage door jambs first (basically
part of the framing). I had very little plumbing to deal with in the
garage, so electrical went in next. Then we insulated, covered everything
with drywall, and painted.

The garage door needed some special 2x6 mounting boards on the inside of
the garage. I installed these after the drywall, but before painting so
they could be painted to match.

The garage doors were the last thing to be installed.

What about the ceiling? How do they put drywalls in
the garage to form a ceiling?
Right now there doesn't seem to be a lot of beams

What does the ceiling look like now?

Ceiling joists and rafters are normally spaced every 16" or 24". Drywall
easily screws to the underside of the joists (or the rafters if you have
vaulted ceilings).

If your beams are spaced farther apart, you may have a beam every 36" to
48" or so with thicker decking that can span the longer distance. You could
probably just screw the drywall to the underside of the decking, but I
would probably frame in joists between beams to provide space for running
wiring and whatnot. Although, that kind of thicker decking is often quite
attractive. I'd probably just put a finish on the decking and forget the
drywall entirely.

If beams are spaced four feet or more apart and the underside of the roof
looks like OSB plywood, you may have stress skin panels on the roof. In
that case, you should be able to attach the drywall directly to the plywood
of the stress skin panel.

It really depends on the type of roof construction you have.

I want to have some florecent lights on both side of the garage

I recommend the newer "T8" style of fluorescent lights with electronic
ballast. They work better in colder temps and with the electronic ballast
they turn on instantly with no flicker.

does the electrican usually lay out all the wires before
putting up the drywall?

The boxes for lights and outlets are usually installed in the wall framing,
then the wires are run between the breaker panel and the various boxes.
Then the insulation, drywall, etc. are done. Finally, the electrician comes
back and installs the switches, lights, and whatnot.

Anthony