andDoes OpenOffice.org 2 have full support of TrueType fonts?
Partially.
andI see "square boxes" instead of regular characters
The text contains characters that are not supported by the selected font. OOo also didn't find a suitable alternative font for these characters.
The last quote from the FAQ isn't understandable for me.Does OpenOffice.org 2 support OpenType fonts named with ".TTF" (having TrueType outlines?)
Yes, to the extent that they resemble TrueType fonts (see below). This may be enough for many users.
Part of the value the OpenType format adds is that it allows fonts with better typographic controls, which can support some languages (like Indic languages or Arabic) that other formats don't support. OpenOffice 2 doesn't go very far in this direction. See Bug #16032 "OOo should support optional OpenType features" and Bug #78749 "some Latin text needs CTL processing" for more information.
So, I have TrueType font (code128.ttf), which displays barcodes. You can get it here: http://grandzebu.net/informatique/codbar/code128.ttf
Some symbols are displayed as a sqare boxes. Meantime the word hasn't any problems displaying it correctly.
Is it possible to make open office display font correctly? If MS Office can, why Open Office can't?
Here is example: My system:
Windows XP pro (32bit)
OO 3.0.1, but also tried on 3.2.0