Because "T.G. Hyper Librarian" is currently Limited, take extra care to protect this card, since decks that utilize it are often dependent on it for draw power, thus making it a primary target for attacks and card effects. For this reason, you may want to consider cards like "Safe Zone", "Dark Illusion", or even Extra Deck options such as "Stardust Spark Dragon".
This card can be easily synchro summoned in a T.G. deck by Special Summoning "T.G. Striker" when your opponent has a monster on the field and then Special Summoning "T.G. Warwolf" or Normal Summoning "T.G. Cyber Magician" and tuning it with a "T.G. Rush Rhino" in your hand.
Normal Summon "Junk Synchron" to Special Summon "Glow-Up Bulb" from your Graveyard. Then use the Effect of "Doppelwarrior" and Special Summon it from your hand. Tune "Junk Synchron" with "Doppelwarrior" to Synchro Summon "T.G. Hyper Librarian". Then tune "Glow-Up Bulb" with one of the Doppel Tokens gained by the Effect of "Doppelwarrior" to Synchro Summon "Formula Synchron".
If not already used at this point, Special Summon "Glow-Up Bulb" through its own Effect to tune it with the second Doppel Token, Special Summoning another "Formula Synchron" and subsequently drawing another 2 cards, or tune them to Summon "T.G. Recipro Dragonfly". While you only draw 1 more card this way, you can use Dragonfly, Formula and this card to Synchro Summon "Trishula, Dragon of the Ice Barrier".
This combo can further be advanced by using "De-Synchro" on "T.G. Hyper Librarian", bringing back "Junk Synchron" and "Doppelwarrior" to Synchro Summon "T.G. Hyper Librarian" once more and ganing another 2 "Doppel Token". Tune both "Doppel Token" with one "Formula Synchron" to Synchro Summon "Armory Arm", which then is tuned to the second "Formula Synchron" to Synchro Summon "Brionac, Dragon of the Ice Barrier".
Use "One for One" and Special Summon "Glow-Up Bulb" or "Spore". Normal Summon "Reborn Tengu", and Synchro Summon this card. You will get a second Tengu thanks to its effect, allowing you to perform a second Synchro Summon (and drawing a card as a consequence) with Tengu and the Bulb/Spore in your Graveyard, which can revive with its own effect.