First of all there are loads of excellent video tutorials available at the official Google Sketchup site - check out the link to sketchup5 tutorials - these are still good. Otherwise you can acces these tutorials by clikcing on tool bar > Help > View Tutorials. Which will take you to the quickstart tutorials. Also most useful is the Help > Quick reference link - which will show you all the GUI details.
As with most software the best thing to do is jump in and play around with it. Sketchup is really intuitive - to start off with you will probably only need to use a few tools in the beginning until you get familiar with the programme… once you master the basics, the sky really is the limit. However for the purposes of this ‘tutorial’ I got lazy - I didn’t really bother trying to make anything but rather just messed about with some shapes to demonstrate some of the main concepts!
1) Some Basic Tools:
Push pull. Extrude planes.
Move (+ CTRL = copy). Drag lines and endpoints around.
Line. Draw straight lines.
2D Rectangle
2) Useful short cuts:
M (move),
Space bar (select) 
Mouse Wheel Button (orbit) 
MWB + shift = pan 
MWB + Ctrl = some other kinda panning!
MWheel = zoom in and out
Note
= zoom extents handy to pull right back to view the big picture
3) So here we go…

Start with a flat 2d square
and using the PUSH/PULL tool
pull up a 3d square. NOTE at bottom right you will see an input box where you can specify exactly how much you want to extrude, And press ENTER to see changes

Still on the box. Click on a line or an end point / intersection when you are in MOVE
mode and you can drag it around. There should be a colored dot to let you know your mouse is on the right place.

Try adding a line (LINE TOOL
) across the middle of a face. Note Sketchup will ’snap to’ for you in lots of handy places!

and then use MOVE tool to drag one of the edges. The line edge will highlight blue to indicate which edge you are moving. You can select edges and endpoints using the select tool.

Note how the line you drew restricts what you can or can’t move. Also you can PUSH/PULL
a plane to alter the new segment you’ve created with the line.

MOVE + CTRL = copy (you can copy pretty much anything)
When you drag SELECT
- (space bar for short cut) - if you do it from left to right it selects only the bits you covered entirely, if you select from right to left it selects adjoining faces and lines
(Single, double and triple click achieve different levels of selection within an object)
‘GROUPS’ are good to get familiar with.
Triple click on an object to select all and right click and ‘make group’

Then duplicate (MOVE + CTRL). Then you can make incremental changes without messing up the original. Groups can be moved easier (don’t have to triple click to select) also groups can be rotated using the MOVE tool by click/anchoring on the correct point.

MUCH quicker and easier then using the rotate
tool IMHO.
You can EDIT a group by double or triple clicking on the area of the group you want to edit. Click anywhere out of the group when you’re done to get out of edit group mode.
You can drag an object by face or endpoint and snap/place it on the face or endpoint of another object so that they fit exactly. Handy when you want to join different pieces.
When moving stuff around you can restrict to a particular axis by using the arrow keys but i can never seem to figure this out (doh) guess i am 3D spatially-challenged. Luckily they have green, red and blue lines to indicate the axis and you can move your object along any of these.
MOVE + SHIFT = constrains movement of an object to an axis.
When extruding multiple objects to the same length e.g. the legs of a table you can match the length of each leg by just placing your cursor over the bottom of the leg whose length you want to match as you extrude from the other legs

You can also extrude by selecting a plane on a 3d object and using the move tool. But this can get fiddly in certain circumstances.
If you want to work in meters or centimeters etc go to window > model info > units and specify what you prefer

Otherwise
Offset tool is good for bevels / wheels when combined with
push/pull. Just click and drag. Like so…

If you want to start getting complex go to http://www.giantmonster.tv/ - he doesnt’ really do tutorials but you can figure out what he’s doing by checking out his videos - I found him really good for doing shaped pipes and stuff which is basically a lathe process which uses the
FOLLOW me tool. Where you define a shape i.e. a circle and then extrude it along a path you create using the e.g.
FREEHAND tool. But that’s another lesson! Maybe…
Have fun!