It's been almost thirty years since I studied Theosophy to any extent; however, I recall it as having more of a concept of God as an indwelling animating force in each living thing rather than as a person-being that someone could relate to in the sense of those Christians who believe themselves to have a "personal relationship with Jesus."

While God is perceived to be a spirit, it's much more along the lines of energy rather than a person-like entity that fulfills a parental role to humankind.

If you're not already familiar with Quest Books, the publishing arm of the Theosophical Society, you might scan their listings for titles on the nature of God.
click here---> http://www.questbooks.net/index.cfm

And, as The Theosophical Society still exists, an inquiry directly to them would quite likely produce some suggested titles to answer your question about how they perceive God. This link will take you to their page of information links about the group and their doctrines.
click here ---> http://www.theosophical.org/about/index.php

From what I gather so far,  Theosophy states that most all religions have certain aspects that are contained in the most ancient religions.  As an model you could say all religions evolved from one basic ancient religion and then sort of took their own path from there.  Theosophy figures that the oldest religion is the truest.  If it does anything else, it attempts to lead us back to the arcane past.  Again I have read just a dot's worth of the SD.  However, it often states an example from an ancient text and then explains what it means.  Then it goes on to show it's parallel in other religions.  Theosophy is not necessarily adverse to any religion, it just considers modern religious knowledge and approches as only part of the whole.  There are seven stanzas to any cycle of existence.  Christianity is just focusing on one stanza.  It is not wrong in its pure sense, just limited. 

the SD is hard to understand so I may be off base but that is what I have gathered so far.

The Theosphist approaches the Bible as he would any other sacred text.  It is valuable in as much as it gives parallels to the most ancient religion.   The part of the Bible know as wisdom literature is used often in applied Theosophy.  Also, Jesus is considered a master teacher.  According to Theosophy,  I would assume  Paulian Christianity  has simply become too narrowly defined.  However, even in the New Testament, concepts like the Third Heaven are mentioned.  Theosophy does not dismiss any text just because it belongs to a particular tradition. 

I guess that a good statement would be, Theosophists use texts mostly as comparative lit.  considering all sources as potentially valuable