First of all, Biden hasn’t sent any weapons to Israel since October 7. And he’s not planning to send “guns and bombs”, he is asking Congress for anti-missile systems accompanied by humanitarian aid for Gaza. Which I think is appropriate.
Second, I don’t think Bibi interpreted that as a blank check. I think Bibi is an idiot who doesn’t care what Biden thinks. In a follow-up speech on 10/19, Biden had much more to say:
President Netanyahu and I discussed again, yesterday, the critical need for Israel to operate by the laws of war. That means protecting civilians in combat as best as they can. The people of Gaza urgently need food, water and medicine. …
As I said in Israel, as hard as it is, we cannot give up on peace. We cannot give up on a two-state solution. Israel and Palestinians equally deserve to live in safety, dignity and peace. …
When I was in Israel yesterday, I said that when America experienced the hell of 9/11, we felt enraged as well, and while we sought and got justice, we made mistakes. So I caution the government of Israel not to be blinded by rage.
However, Israel is a sovereign country and unfortunately isn’t taking orders from the US. The US is trying its usual approach of attempting to bribe a foreign government into better behavior, but success is hardly guaranteed.