why isnt print printing the name?

Problem #1:

I assume you are trying to 'search' for a weapon inside the player's Backpack. This cannot be done if name is not a userdata (AKA, object).

When you set a variable, it has no room to change, meaning that TextButton.Text will not change the variable when Text is changed. This means you have to use the userdata instead;

local name = script.Parent.TextButton -- leaving room for change
print(name.Text)

Problem #2:

Some of your formatting is.. flawed. That makes it a bit hard to understand, and I actually got confused between lines 3-4.

As well as that, use Tab to format your code, since Space kinda sucks.

A simple fix:

local player = game.Players.LocalPlayer
local name = script.Parent.TextButton

script.Parent.TextButton.MouseButton1Down:connect(function()
	game.Players.LocalPlayer.Backpack:FindFirstChild(name.Text)
	print(name.Text)
end)

Problem #3:

By now, your code should be able to print the name (see previous problem's code block). The problem next is that you aren't doing anything with the weapon you are searching for, since FindFirstChild() returns a userdata (the weapon you found).

To equip it:

local player = game.Players.LocalPlayer
local name = script.Parent.TextButton

script.Parent.TextButton.MouseButton1Down:connect(function()
	local obj = game.Players.LocalPlayer.Backpack:FindFirstChild(name.Text)
	if obj then -- if the weapon exists
		obj.Parent = player.Character -- equips it
		print(name.Text)
	end
end)

Problem #4:

There is a chance that your code will error in the server because script.Parent.TextButton may not exist yet. So:

local name = script.Parent:WaitForChild("TextButton")

Hope I helped!

~TDP