Hi, I’m a F1 student recently married to an LPR . My husband has filed the I-130 .

You will have a difficult time getting a student visa given that you are married to an LPR and have an I-130 pending. An F-1 requires you to show you do not intend to immigrate. You should discuss this in more detail with an attorney including your husband's eligibility to naturalize.

Check with the DSO regarding gap between programs.

Your husband should not have filed an I-130 if you need an F-1 extension. See an attorney for help.

When you go from one F-1 program to another, you need to get a new I-20 from the new program. This is done by the DSO. (Sometimes you want to make sure the DSOs from both programs coordinate properly to avoid any transfer errors.) F-1 transfer doesn't require you to file any extension application with the USCIS, unless somehow you violated your status or your SEVIS is terminated or messed up. The normal F-1 program transfer doesn't involve a new review of your immigration intent. It is still possible to transfer to a new program even if an I-130 has been approved. However, you need to consult an immigration lawyer to determine that assuming you can successfully maintain your status until your priority date is current whether there is any reason that makes you ineligible for adjustment of status.