Are you googlable?
Ok, I will not go into more detail concerning the second part of you question, ab2 has done so in detail and I agree with him.
As to syllabification, I would go with pronunciation and split googable into goo-ga-ble. The reasons for this are quite simple. I have learned that there is the Sonority Sequencing Principle in phonotactics which tells us that the constituents of a syllable should rise in sonority in the onset, reach their peak in the nucleus and then fall again in the coda. This, paired with the Maximum Onset Principle (name speaks for itself), make it clear for me that the first syllable is goo, the second ga, and the third ble. All three of them start with a plosive (least sonorous) and have a vowel (most sonorous) as a nucleus, the third is the exception, as syllabic consonants like l or m can also be used for a nucleus. The e in the third syllable could be omitted or pronounced as a schwa, in which case it would be the nucleus and l part of the onset.
Same goes for goo-glea-ble. Personally, I would also split it into three syllables, because I'd pronounce the glea with only one vowel sound and that is a schwa. If you want it with four syllables, then I would have the a as a stand-alone syllable and gle as a syllable with l as the nucleus and no schwa sound.
And I would split goo-gla-ble into three syllables for the same reasons as before.
I hope this helps a bit.
Googlable, pronounced goo•gla•ble
My reasons:
Googable is just plain wrong. One doesn't goog someone. OK, this is just a judment. Judment? If google goes to googable, why not judge to judment? If we are going to shorten the word, why not go to goo and gooble? "Goo that company, please." "I tried, but it's not gooble." Maybe it will come to that, in conversation, although not in writing. Sigh. I rest my case on googable.
Pronouncing Googleable with four syllables will never survive in a world where "want to" in daily speech becomes "wanna". (See Centaurus's recent question on wanna, shoulda and their kin.) When I say googleable with four syllables, it sounds like I am gargling. Maybe you can say it, but I can't. As for the spelling, if you can't say it with the e, why spell it with the e? Back to judgment. There is precedent for dropping the e. There is also precedent for keeping the e; judgement is OK. Flip a coin on the spelling.
For pronunciation, what survives of Mary Lou's choices is googlable. Her question -- goo-gl-a-ble or goo-gla-ble? The four syllable version is too hard to say. It is sort of like (or sorta like) clearing one's throat in the middle of a word.
My spell checker went crazy on this answer.