I would suspect you would get poor to no growth. Although most Chlorella can grow off of a carbon source (not obligate autotrophs), I'm not sure if glucose is one of them. On the other hand, some Chlorella are capable of utilizing amino acids as a nitrogen source so you may be able to get by, if you also have the correct inorganic phosphorus from the yeast extract. Also to your detriment if you are trying to grow autotrophically, LB isn't as clear as water so your going to be limiting the optical penetration of your culture vessel and limit photosynthesis (slower grow and lower carrying capacity).
If you must use LB, I'd recommend spiking in acetate to the LB at the same concentration it's present at in TAP media. Alternatively, you could try TAP or HSM mixes with LB (ie 50/50, 90/10, etc.).
We grow, very successfuly, a very close relative of Chlorella on BG11 plus glucose, pluss 100 ppm Kana and 100 ppm Ampi. We get clean colonies after 5-7 days.